complex.gmu.educomplex.gmu.edu/ · 2017-12-05 · ',r/! ",,,,, ", xi \ Line of nodes : Figure:...
Transcript of complex.gmu.educomplex.gmu.edu/ · 2017-12-05 · ',r/! ",,,,, ", xi \ Line of nodes : Figure:...
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reg -5~ Ifgt 1ult nl~(Hhf~ fchv fL d Jk ~vy ~f rraquo P zoY ~
4 ri c~ L Gl 11e~ r~ middot
hk ifl- t-fkaJ fk de-IJl fk + CltN~-s- - t r+1-
-1 -r yene-I( ~s b~ t 44 G(r~~SSshy
1= ~ - (r Z- - I 3) amp-l~ l-)l =- N
r 2 ~ 1 - (f - r) ~ 3 ~ = ~h
tz ~3 - (t - f-z) ~ ~ l 1-1 ~
w l- -c ~J1 u (lC I IC )1) cl- amp- lt ~1 17 k
IIL hiS oi H ~ hf~ e 1lt (
~
( flU Ilt I -+k hcy ~ k dbull r IL ~~ +k
~~ o~ --ow ~
fI (-= NCltJ laquol-NZ = - tJ ~ f
14301
~ ---------------~ -
~
tJ r
xi Line of nodes
Figure 11-15 Size 13p9 x 14p6
Wadsworth ArtistlDateeh 313103 ThorntonMarion RevsBJ 403103 Classical Dynamics 5e 7973
~
f =
ogtsltf ~r-f
-C ~ CA
0 c)
()
-ITI~ sa e st
$- 1 vcoe4 vc~yen-~1 -~ s ~ --
a0 - ~( llshy
-gt ~ - Ilt f)lieY I N - I
Ashy 9-shyi - 00
f ~
r
~N ==- W3- (~i e _~~ ~~ Et
o
ctf
t ~ - Crl 13) J-ll- ~l ~ fJ G4$~
t W2 - (rJ - l=) hlJ Wl = -- rJ amp1It f
Wl u- MW IIo-K If-G7 h poundJortUS ~ gt-(t- (c~~ ~ --i-kll
lAY i klt -I- Jk 17J(r tIL
J 0 ~ se t +~ co i
t ~ l ~ SltYI e Co -cf - ~ Sil ~
WJ - ctgt to~ amp -t ~
r1 1pound (~ CAd + f) D
-it t13l 4Cltgtt ~ltraquo 0
I~ 11 (~c-~ -(-tip) = UgteA lt- owof lk poundltgt~o ~oh~ (_ I S-5 _
CD 1 ~ t+$~ 4 f eCo54) - (r - r) ( ~~~ f) ~ - 0~4) (~ UJ( 6- + 4) -= NC6 f
i
IV I it (~~l~ C4f - S ~nf) - (13 1) (4CsfHf)-
( ~ ~~ 9 S1f ~ 6 c~f) - - N ~~
+ 1k ~ 6t 11 J ~ fi ~ J11 -l-ttraquo-L -1 ~L Jl LU iJill b gl ~ dvV~IIL J -k t) bull
~ -ok IA--p- S k AJt( ~ h-wl ~ L I ~
bt D-- O~~~ WI t middot
~~f A(~ s () c 1f ~9COS~) 1- tgts-t it (is~ 9 bull - shy
_ (1 _rl) ~$4 ~~~(d 4- (~ AS II N-) - cos -l- (~Cotsmiddotit e~ )1
_ ~ ~~it )
~) r CA$9 tAf) - (~Si i)
_ B(~ (I~9- 4) (s~4 Mifgt1 (I -11)t (~~f)~ ~)
I
I ts ~ tJ +~4- ft(~9) $ -r ~tamp A(amp$ ~1
-
C6~of
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_ 1 t itt+Sp8) ( lt1 CA Smiddot ~) lt1 l+~ s~4- f _ Gt$ (9cgtf -+ ~)1
-= T ~ i (~ ~ampgt - ~41
L---------~--- J-shy
T it L$amp ~ s e)
~l C6s 17 -t lf J --= GJot+Wt AtrUL1 Ic~ ~~gt (~-
So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
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ITi 1~
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0 4ctgt
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x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
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0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
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0
l f~ 0 -=Dl- TO
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-~F- -1gt-0 3( - 7 ( l+(Jol
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Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
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( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
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- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
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I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
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I
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1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
~ ---------------~ -
~
tJ r
xi Line of nodes
Figure 11-15 Size 13p9 x 14p6
Wadsworth ArtistlDateeh 313103 ThorntonMarion RevsBJ 403103 Classical Dynamics 5e 7973
~
f =
ogtsltf ~r-f
-C ~ CA
0 c)
()
-ITI~ sa e st
$- 1 vcoe4 vc~yen-~1 -~ s ~ --
a0 - ~( llshy
-gt ~ - Ilt f)lieY I N - I
Ashy 9-shyi - 00
f ~
r
~N ==- W3- (~i e _~~ ~~ Et
o
ctf
t ~ - Crl 13) J-ll- ~l ~ fJ G4$~
t W2 - (rJ - l=) hlJ Wl = -- rJ amp1It f
Wl u- MW IIo-K If-G7 h poundJortUS ~ gt-(t- (c~~ ~ --i-kll
lAY i klt -I- Jk 17J(r tIL
J 0 ~ se t +~ co i
t ~ l ~ SltYI e Co -cf - ~ Sil ~
WJ - ctgt to~ amp -t ~
r1 1pound (~ CAd + f) D
-it t13l 4Cltgtt ~ltraquo 0
I~ 11 (~c-~ -(-tip) = UgteA lt- owof lk poundltgt~o ~oh~ (_ I S-5 _
CD 1 ~ t+$~ 4 f eCo54) - (r - r) ( ~~~ f) ~ - 0~4) (~ UJ( 6- + 4) -= NC6 f
i
IV I it (~~l~ C4f - S ~nf) - (13 1) (4CsfHf)-
( ~ ~~ 9 S1f ~ 6 c~f) - - N ~~
+ 1k ~ 6t 11 J ~ fi ~ J11 -l-ttraquo-L -1 ~L Jl LU iJill b gl ~ dvV~IIL J -k t) bull
~ -ok IA--p- S k AJt( ~ h-wl ~ L I ~
bt D-- O~~~ WI t middot
~~f A(~ s () c 1f ~9COS~) 1- tgts-t it (is~ 9 bull - shy
_ (1 _rl) ~$4 ~~~(d 4- (~ AS II N-) - cos -l- (~Cotsmiddotit e~ )1
_ ~ ~~it )
~) r CA$9 tAf) - (~Si i)
_ B(~ (I~9- 4) (s~4 Mifgt1 (I -11)t (~~f)~ ~)
I
I ts ~ tJ +~4- ft(~9) $ -r ~tamp A(amp$ ~1
-
C6~of
-+ Ogt~ poundI I-~ of ~ l +s9) cS~ shy
_ 1 t itt+Sp8) ( lt1 CA Smiddot ~) lt1 l+~ s~4- f _ Gt$ (9cgtf -+ ~)1
-= T ~ i (~ ~ampgt - ~41
L---------~--- J-shy
T it L$amp ~ s e)
~l C6s 17 -t lf J --= GJot+Wt AtrUL1 Ic~ ~~gt (~-
So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
-~1-) ~aA- jt C~r (~)
0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
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1 _ ~ (r-r) ~ 0
CD )shy
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tJv -I-Lo( (y-ses
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_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
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Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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gt
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~
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bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
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~ kamptc
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I
Jv h) ~ w~
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-+ ~
l- l~ t ) - T ) (T -r) gt0
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t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
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~ lt 0--s c )2
~l f~d ~ )( II 1l k
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~
f =
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0 c)
()
-ITI~ sa e st
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a0 - ~( llshy
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Ashy 9-shyi - 00
f ~
r
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o
ctf
t ~ - Crl 13) J-ll- ~l ~ fJ G4$~
t W2 - (rJ - l=) hlJ Wl = -- rJ amp1It f
Wl u- MW IIo-K If-G7 h poundJortUS ~ gt-(t- (c~~ ~ --i-kll
lAY i klt -I- Jk 17J(r tIL
J 0 ~ se t +~ co i
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WJ - ctgt to~ amp -t ~
r1 1pound (~ CAd + f) D
-it t13l 4Cltgtt ~ltraquo 0
I~ 11 (~c-~ -(-tip) = UgteA lt- owof lk poundltgt~o ~oh~ (_ I S-5 _
CD 1 ~ t+$~ 4 f eCo54) - (r - r) ( ~~~ f) ~ - 0~4) (~ UJ( 6- + 4) -= NC6 f
i
IV I it (~~l~ C4f - S ~nf) - (13 1) (4CsfHf)-
( ~ ~~ 9 S1f ~ 6 c~f) - - N ~~
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~ -ok IA--p- S k AJt( ~ h-wl ~ L I ~
bt D-- O~~~ WI t middot
~~f A(~ s () c 1f ~9COS~) 1- tgts-t it (is~ 9 bull - shy
_ (1 _rl) ~$4 ~~~(d 4- (~ AS II N-) - cos -l- (~Cotsmiddotit e~ )1
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So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
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S~~ ~ J y
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tI
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tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
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r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
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I
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L
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o
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1-
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( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
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o
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~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
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ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
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-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
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~~_-==~_----i-i
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( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
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Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
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Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
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L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
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- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
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~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
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_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
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Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
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~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
t ~ - Crl 13) J-ll- ~l ~ fJ G4$~
t W2 - (rJ - l=) hlJ Wl = -- rJ amp1It f
Wl u- MW IIo-K If-G7 h poundJortUS ~ gt-(t- (c~~ ~ --i-kll
lAY i klt -I- Jk 17J(r tIL
J 0 ~ se t +~ co i
t ~ l ~ SltYI e Co -cf - ~ Sil ~
WJ - ctgt to~ amp -t ~
r1 1pound (~ CAd + f) D
-it t13l 4Cltgtt ~ltraquo 0
I~ 11 (~c-~ -(-tip) = UgteA lt- owof lk poundltgt~o ~oh~ (_ I S-5 _
CD 1 ~ t+$~ 4 f eCo54) - (r - r) ( ~~~ f) ~ - 0~4) (~ UJ( 6- + 4) -= NC6 f
i
IV I it (~~l~ C4f - S ~nf) - (13 1) (4CsfHf)-
( ~ ~~ 9 S1f ~ 6 c~f) - - N ~~
+ 1k ~ 6t 11 J ~ fi ~ J11 -l-ttraquo-L -1 ~L Jl LU iJill b gl ~ dvV~IIL J -k t) bull
~ -ok IA--p- S k AJt( ~ h-wl ~ L I ~
bt D-- O~~~ WI t middot
~~f A(~ s () c 1f ~9COS~) 1- tgts-t it (is~ 9 bull - shy
_ (1 _rl) ~$4 ~~~(d 4- (~ AS II N-) - cos -l- (~Cotsmiddotit e~ )1
_ ~ ~~it )
~) r CA$9 tAf) - (~Si i)
_ B(~ (I~9- 4) (s~4 Mifgt1 (I -11)t (~~f)~ ~)
I
I ts ~ tJ +~4- ft(~9) $ -r ~tamp A(amp$ ~1
-
C6~of
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_ 1 t itt+Sp8) ( lt1 CA Smiddot ~) lt1 l+~ s~4- f _ Gt$ (9cgtf -+ ~)1
-= T ~ i (~ ~ampgt - ~41
L---------~--- J-shy
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So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
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S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
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J- ( 03
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a =shy fA--a3
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t ~tv-=
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tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
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Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
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(-lr -gt-) ( (-h -)-) - (~)~) Ugt
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Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
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A- l-shy 3
L
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0
l f~ 0 -=Dl- TO
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-~F- -1gt-0 3( - 7 ( l+(Jol
~
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reg
1l-~
o
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I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
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( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
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I
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I
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0
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(shy1
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~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
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( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
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tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
CD 1 ~ t+$~ 4 f eCo54) - (r - r) ( ~~~ f) ~ - 0~4) (~ UJ( 6- + 4) -= NC6 f
i
IV I it (~~l~ C4f - S ~nf) - (13 1) (4CsfHf)-
( ~ ~~ 9 S1f ~ 6 c~f) - - N ~~
+ 1k ~ 6t 11 J ~ fi ~ J11 -l-ttraquo-L -1 ~L Jl LU iJill b gl ~ dvV~IIL J -k t) bull
~ -ok IA--p- S k AJt( ~ h-wl ~ L I ~
bt D-- O~~~ WI t middot
~~f A(~ s () c 1f ~9COS~) 1- tgts-t it (is~ 9 bull - shy
_ (1 _rl) ~$4 ~~~(d 4- (~ AS II N-) - cos -l- (~Cotsmiddotit e~ )1
_ ~ ~~it )
~) r CA$9 tAf) - (~Si i)
_ B(~ (I~9- 4) (s~4 Mifgt1 (I -11)t (~~f)~ ~)
I
I ts ~ tJ +~4- ft(~9) $ -r ~tamp A(amp$ ~1
-
C6~of
-+ Ogt~ poundI I-~ of ~ l +s9) cS~ shy
_ 1 t itt+Sp8) ( lt1 CA Smiddot ~) lt1 l+~ s~4- f _ Gt$ (9cgtf -+ ~)1
-= T ~ i (~ ~ampgt - ~41
L---------~--- J-shy
T it L$amp ~ s e)
~l C6s 17 -t lf J --= GJot+Wt AtrUL1 Ic~ ~~gt (~-
So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
-~1-) ~aA- jt C~r (~)
0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
I ts ~ tJ +~4- ft(~9) $ -r ~tamp A(amp$ ~1
-
C6~of
-+ Ogt~ poundI I-~ of ~ l +s9) cS~ shy
_ 1 t itt+Sp8) ( lt1 CA Smiddot ~) lt1 l+~ s~4- f _ Gt$ (9cgtf -+ ~)1
-= T ~ i (~ ~ampgt - ~41
L---------~--- J-shy
T it L$amp ~ s e)
~l C6s 17 -t lf J --= GJot+Wt AtrUL1 Ic~ ~~gt (~-
So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
-~1-) ~aA- jt C~r (~)
0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
~l C6s 17 -t lf J --= GJot+Wt AtrUL1 Ic~ ~~gt (~-
So fIJ l -C- so J Ilh amp-k A- u amp)IJ
o
f-LI~ ( IJ lshy~
(r t~ amp 3 osmiddotamp)4 + T3f csamp cw+
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
-~1-) ~aA- jt C~r (~)
0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
fcrr $11hclt~ ~~ --t- gtI - wll fcI
co~J--Al- ~-e- ortlt ~+ Skt ~~
S~~ ~ J y
~ ~LJ Alltn- lrl~~ J-~ + tk ~r 04 ~~J
tnt-k ) t _ l~+~ w- 7W tN-~ ~~ ~
-= ~ ~ )ltz J)CrJ Xc ~ ~S )~ gt hkyen
t gt ~
_cro 3
~ (f_ Sa ~ - (J r~o(J)C1 lMell 0 o
J- ( 03
-= ~
~ 2 J~(t~tQ
a =shy fA--a3
_J
t ~tv-=
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
-~1-) ~aA- jt C~r (~)
0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
tI
middot I I
tJw J W t cJ 0( AQ -Ik mis o~ I~ hl vpoundpound middot - ~ ~ ts 0rcl~~ i(~ -A-- tk Gil o~ r)Th d -k
hr o ~-lt helL- C-Ik Of~lt)
-r S y t () r -(3 J ~l C I I 2shy
l-)Clt - () b j Y JIlt 1 ~ h Ilt gt- - 60 0
r yy ~ tr rc~Jly ~e cl Ilt Igt0 l
l1 _ S~ r )( y J~Jr ~ -ltl to)( x ~ e -1 001 ~L I
I g I
~ yen
Tn S L ( by) JJy ltl r (yL )lt -t pound ) ellj~ 2
~yen (14 = 3 Mol )f 3 3
TH ltr r ~gt~IJr = -s~~gt lJ~Jy 0 D
~Ylt~ vyS t~~ t+ to - i) bull
I
l-JItl ampI~5 ~ ~Ul-J-~SYl bull ~
Vc - 1~
1 _ shy
V2 -shy0 0
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
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~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
-) ~o
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0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
- - I shy 1)- -p l ~fw-shy
_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
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W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
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L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
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t ~~ __Jc lhl it ~
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Iv-lt - b IA-Jr- fI 1- fk
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IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
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~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
I
l-r 0 3 M~- - M( )(c~ + fc~~) I
1~
tI
~~22 2 (- (~+ ~ ~) - ~~pound)
~ 3 M I- 9 ~tJ
- - 0
ITi 1~
Ie e ~~1~ _1- 0- 031 --(Ashy- Jshy
0 4ctgt
(lIc r It ~~ IZJ
x(t~ 4 -k Cfk ~c bull ~ + IAJ p
Irl- ~ ~ ~ -tk ~ar vtq If 2-laquo~
~ Ct -A 1) 0
(-lr -gt-) ( (-h -)-) - (~)~) Ugt
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
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0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
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0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
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I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
~ ~-L
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
-til -X~+-
Q - ~4
J-~ -shyA= - 4(8
I
3 shyyenYI 3
-- -I r -
A- l-shy 3
L
~lI -Tt - ]1
- lt)fvr - I - 0
- 0)J
- lb n Qcgt
yenI(ly ~ DJ- 2~f-f~D)
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0 Ie S i ~rlc 11 ~ t -l~ - c13 ~ J tl~ (( 1pound1gt1 I
-
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_1- 0 fJ~-L_L-g
0
l f~ 0 -=Dl- TO
I ~ t0 4- Ti
-~F- -1gt-0 3( - 7 ( l+(Jol
~
Z - 0 )
reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
~ CA y ~
1shy
l - Ii fA-
M L
1-
_ lt0 tL1rk 0 I-~~ LL L
( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
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c~ 2
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I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
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( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
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gt
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~
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bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
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t-I~ (1 - j) (r -)
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l-J
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reg
1l-~
o
o
I ~ 31 - 3~ 1 - 0
6~middot 0
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1-
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( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
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- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
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I
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0
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1 c l-01~ ~ o(i~ ~ ~ c
(shy1
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o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
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( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
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r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
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- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
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t ~~ __Jc lhl it ~
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gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
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Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
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1-
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( h 11ltn~~ t J~ [if- -- 21~J JJ~3 r~ r Lf 1 ~n (y2r j [ -- 0 + 2)(~- 1d)(
h I =f1 [~~) (3+ + l~ ) )(31 4)(3
- (gtIi LmiddotH~)+ ~ +l~)f1 (II (-tY Ji (it l~Y + )
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
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Jl ~L$)
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I
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I
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o
1 SAfI Jk r( C rL middot
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o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
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( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
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cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
- lt) I I
tk- w- t1 ~~r C -A rt~ J-1-k ~y 1 ~
~ r -- ~o 1ft litgt ~)
_------w~ _ 10 wt cJelrtL U1
- ~I S~ itl~1 )(i c)l3
- 2-i d~l~~) Jf- t (~rl~~) h~raquo)
Jl ~L$)
1 -shyshy
R ~~~
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~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
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c~ 2
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I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
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~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
Jl ~L$)
1 -shyshy
R ~~~
~ft~
~ tI (--t to ~) c)
I
4JO I
-f l~ 4) I 0
I
0 0
lk )(r ~ItmiddotS ~ rlil 1 - ~ ~
D
0
~ ~-a to
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I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
c~ 2
~ --t ~ ~
I
N01 ~ L ~ ~ I ~ (I c ~ kort- J-o
1 c l-01~ ~ o(i~ ~ ~ c
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
(shy1
1~1 ~ ~M(Ii~ ~) ~ -- ---- - shy
~ t -u ~ (~ - ~)
S-gt o
o o
u 1 J(6~h~ tlfUJr ~ h~~ (1
o
1 SAfI Jk r( C rL middot
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
frb tJT 112 ~ It kM It tAf~tul -Jc ~~-Igt tshy
o~ A cv-L -t-ll(f ~- I ~s I ~t middot oJ l Jl Jk
o~ t A cortl+ l laquot)e-f fI- fg bull (If cn-e- M ltiwoSk bel ~ )(3
-1 () ~ t If lW Mi~ M ( ~J ~r) = -rr f ( ~ ) ~ ~
~ M~1~ ~~) () I o
o l- f l~~ 4-~2~ o ~
o o
ft- ~6 fL( ~ 11 h-d 4 t o 1 ~h ~ 1+ Sf So- h~( P(~ -rk ~ 1 S ~k if OLS bull
k-l- ljll totlt (II - f) ~ (y -I 0 f ) Co to-t - S~- ~L 1 cltlclltL ~ I Ii middotJt ~LI (
-n C~ Sfe~ s a- c ~l f ~ t kcJ il S bull
Co-M- ni ~ ~ ---s
mlJt ~ ~ ~~b
pl~tUi I
(Xt~i) 1- J ~ $
~ r I~ -t S ) J ~b~Y fC~S
~~_-==~_----i-i
)(
fr~ 1
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
~f (11- r)(lr-L0 IJl
_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
~ kamptc
Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
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ltgt~ ~ IIIpound~~ Ale cff~ ~
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1 _ ~ (r-r) ~ 0
CD )shy
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~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
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Iv-lt - b IA-Jr- fI 1- fk
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wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
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~l
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gt
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~
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Wz I-J] 0shy_ ~~ rk- -~ Qvo~
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I
Jv h) ~ w~
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cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
-if u-poundJr tk ~ Itr ~(~ ~ )(3
( ~v NiK fk ~~ltpoundl Cogt-SI-lt bullbull~ or - ttr~ f- ts eJ~c
_ NoJ I
Rd = sin α
W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
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tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
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1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
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Iv-lt - b IA-Jr- fI 1- fk
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wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
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vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
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Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
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~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
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~ lt 0--s c )2
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W (bl3 IlJ rhrr~ wlt- ~ v
Jt~ruL~ ~ bL ~l ~
~~J= 4R
~ ~ ~lvk 0 -tt ~ 4I~ w ~r r I(L v-t1 ~t
tJH (l) hIt ~ WCZ u r~~f- J Jk
k p 11-1 1fJ~a Vt-N ~ ~ fk eo-
1 h-k 1 I Ik ~ IltfS
~ I I A IN W X - h)2la J2~1
r) 4S ) s ~ -Ie 9 cor I
W~ ~ ~ (O14 - 9~vgtf
~o $lvCi -p() CoS (-~s-l) ~ t)
Oo~(l-O) - rgt $
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
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Iv-lt - b IA-Jr- fI 1- fk
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wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
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~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
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vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
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Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
l- l~ t ) - T ) (T -r) gt0
cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
reg W - N j) c 0( ~ ~si)
~ 2 hl 0 ~~ 0( C t (ws-t)
Wl = JO~iVO( - ~ Si-
- l--lo
--
i
~ Tl T l --= al ~ 0
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
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~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
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Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
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cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
L ~ I - -I --
-~ I c H ~(C ~trflJ ~ L c- _ ~1(S4 a
G tu- t- rIo-lt (~- I- -Ifl ) 6 - I J shy
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
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vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
~lc ~ 1~ ruqclwL- (VI
bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
-h -~ st-r(1shy
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Fb 1gt11 ~ ~~~ltif 1 r~~n ~ (IV ~ ii-t ~ amp1 1 ~
I
Jv h) ~ w~
~2lI~ -Tl) W (1 2 -T3)(f -r) 1 ~$- 11 1= hJ t
~l (Tl -1~) ~ ( T-r3) (r~-13)kJ - IN 13 ~l
-+ ~
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cw +vr- ct~ W ()- ~kshy i 2 1 S ~~ c11e l
$fv~ ~-Ttly ~
t-I~ (1 - j) (r -)
u-l tttl hlL l ~ tshy
l-J
L t shyJ3 (Iz -fj)(T3 -11)
~ lt 0--s c )2
~l f~d ~ )( II 1l k
~~Llfl- t
i I i
( J _ r-0 u) U$ 0)
Il hgt1 l
- (11 - r) ~ w reg 1 p7
- D T~ frgtl shy
~ -1 Q - 1 I-J 1 ~ ----~
~ t cj) A~
~~ f(O(dSIlST~ (~~~ ~ kk sltW-- L~ () l G 5 ClC3
~ ~ ~Ws ~dcmiddot71 $2~ 0 A(p~ (st-l ~ )
1 ~~l t 1 Ih As ( (fl~ ~ )
~~ I
l~ fllt S - chhcc-middotJJltgt( ~J
~~ 411 k-~$ J-k ~s t- -- ~~~ fllcry vuhr ~ Jt ~r~ ~~ j h fL ~
4gt 10 t1f shy
h) ~ se 4 -+ e (AgtS 4 A~( (sztd
fl ~ ~ 5 9 CA If- - amp$4 ASI (Qu ~ i i
j)3 ~ ~ ~amp ~ t4 d--t Q t3-lgt
LO( c 4 ~ cpc1I( ~
ACoS ( $lt ns~~4 ASV (SLt ) o~~~
~
cjgt S e 0 A~ (9-11 ~ +4)
ACoS (n--l-t ) (654gt ~~ cgtA -+ eogt(f 1 S (st -t -t f)
e = A CoS (stt +~ -+ 4)
(j) e=-o
f= ~rt (c~~-A- syuJ)
e - D
reg 4gt A SlY- (-rrtJ I ~ amp0 C~+ ~ ( So s (1( tA ~
iA1 f ~ jt- -rfe UJi)
i I
C-l Q I
-r ~ sr IL I ~~ II JOv p+v~ (f-iIr IT~ ~k Jar raquo-~ j-J ~ u cc-S
ltgt~ ~ IIIpound~~ Ale cff~ ~
T ~ _ rb~rCI1--rs) ~ 0
1 _ ~ (r-r) ~ 0
CD )shy
~(r vJoe7
tJv -I-Lo( (y-ses
~ w~1 1M ~ II ~ -J-lc-~ e v (fl ~
~ ks C1laquo ~~ - lt- cent ~ raquo L J
_ -klt i ~o -hr~ ~cl-r -I+-e T--
t ~~ __Jc lhl it ~
_ 0) Jo ~ ( 7 _I W)- f~Jt1 _It vA Ilt cy JfzAshyI~ owshy c-v~ lA-t- 0 I ~ ~~ ~3 ~ 0 ()r shy~~j _ Wz t -~~ (Art- II~ fP~S 51t-ltl aj wL
Iv-lt - b IA-Jr- fI 1- fk
hbSId- cmiddotAf~ ~~
wIl1gtt -10
IJ~ (-rz _r)(Z -rj)
h -
~l
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_ (lu I --l -Iu ~ ku-y tJ- 0 tlJ +k c~~~ t Il~ ~ kk ~HUf
gt
)(L k gt~~ ~ 4shy
vV~ Crt -17) (13 -I) lt 0 -Iz T~
~
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bull
Wz I-J] 0shy_ ~~ rk- -~ Qvo~
dvCi1btJ ~ ~ lArl~ ~~rtt~ ~
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