03 Dynamics Lecture Slides 3 of 4 2011
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Transcript of 03 Dynamics Lecture Slides 3 of 4 2011
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7/31/2019 03 Dynamics Lecture Slides 3 of 4 2011
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@{ldnkeuIcepsrc -5'0+
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Rcedv gj Icepsrc 2
KNVSIUC > emdlhc kl ngnclpsn gj pmc gbocep
Jrgn Lcxpglu 2l` Idx
Klpchrdpklh)
`pJ>
vvv`v`pJ kj
v
v
p
p
j
k
>>> 2
4
Knvsiuc
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Rcedv gj Icepsrc 2 J.p hrdvm? Drcd sl`cr pmc hrdvm hkzcu emdlhc kl ngnclpsn -knvsiuc+
Knvsiuc > J `p > Drcd sl`cr J.p hrdvm
v.p hrdvm?
Hrd`kclp hkzcu pmc lcp jgrec depklh gl pmc bg`{
`p
`vJ>
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z > 36 n u.4z > z s
9J< > v ' p> -nz+ ' p> n -z ' p+
> 6,4 } -36 ' 6,4+> 36 L
@krcepkgl? 426g pg pmc klkpkdi zci
Zcepgr
`kdhrdn
.s
zz
:6g
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s>6 z>43 nu.4
n > 6,46 ah
Knvsiuc > Emdlhc kl ngnclpsn
> -6,46+-43+ 6 > 4,3 L u
J.p hrdvm jgr pmc bdii ?
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Pmc udnc emdlhc kl ngnclpsn edl ckpmcr rcusip jrgn d idrhc jgrec depklh jgr d zcr{ umgrp pknc) gr) d nsem undiicr jgrec depklh jgr d nsem iglhcr pknc
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TSKEA TSK_
Xmcl d erkeacp vid{cr edpemcu pmc bdii) mc xgsi` jcci d upklh gl
mku mdl`u, Xmdp umgsi` mc `g pg rc`sec pmc upklh7
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TSKEA TSK_
@rdx bdea mku mdl`u du pmc bdii ku edshmp,
Pmku rc`secu pmc ngnclpsn gj pmc bdii pg crg gzcr d iglhcr pknc
klpcrzdi, D undiicr jgrec ku pmsu c}crpc` gl pmc mdl`,
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Lcxpglu 2l`
IdxJisk` jigx vrgbicnu
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Lcxpglu 2l` Idx gj NgpkglPmc rdpc gj emdlhc gjngnclpsn gj d bg`{ku vrgvgrpkgldi pg pmc lcp jgrec pmdp depu gl kp)
dl` pmc ngnclpsn emdlhc pdacu videc kl pmc `krcepkgl gj pmc jgrec,
nz``vJ
+->>
`p
n`z
`p
z`n
+-+-!>
ndJ>
Eglupdlp nduu Eglpklsgsu nduu jigx vrgbicn,`p
n`zJ
+->
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Pmc c}mdsup hducu vsumdhdklup pmc dpnguvmcrc
bcmkl` pmc rgeacp,
Rgeacp vrgvsiukglRgeacp vrgvsiukgl Mgx `gcu kp xgra7Mgx `gcu kp xgra7
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Vrgjcuugr Hg``dr` -4==2.4;03+ Dncrkedl rgeacp vkglccr
Odlsdr{ 45) 4;26 Lcx [gra Pkncu c`kpgrkdi rk kesic`
Hg``dr`u k`cd?
Rgbcrp M, Hg``dr`
d rg cuugr g dr x u e d r l dr Egiichc dl` pmc egslpcldleklh gj pmc Unkpmuglkdl
Klupkpspkgl) `gcu lgp algx pmc rcidpkgl gj depkgldl` rcdepkgl) dl` gj pmc lcc` pg mdzc
ugncpmklh bcppcr pmdl d zdessn dhdklup xmkempg rcdeppg ud{ pmdp xgsi` bc dbusr`, Gj egsrucmc gli{ uccnu pg idea pmc algxic`hc id`ic` gsp`dki{ kl mkhm uemggiu
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Lcxpglu 5r` Idx? Rgeacp Vrgvsiukgl
Depkgl?Jgrec b rgeacp gl c}mdsup du
Rcdepkgl?Jgrec b c}mdsup du gl
Pmc kljidpc` bdiiggl mdu egnvrcuuc` dkr vrcuuklh
ctsdii{ dhdklup dii pmc uk`cu,
Dkr rsumcu gsp pmc gvcl mgic,
Depkgl? Jgrec b{ bdiiggl gl dkr pmdp ku vsumc` gspgj pmc mgic,
Rcdepkgl? Jgrec b{ dkr gl bdiiggl xmkem ji{ gjj klgvvgukpc `krcepkgl,
xmkem ku vsumc` bdeaxdr`u,
rgeacp xmkem ku vrgvciic` jgrxdr`,
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Gl 48 Osi{ 4;:;) pmc `d{ djpcr Dvgiig 44(u idslem)
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pmc Lcx [gra Pkncu kuusc` pmku egrrcepkgl gzcr d 4;26 upgr{ kp
rdl ud{klh uvdecjikhmp ku knvguukbic,
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PmrsupJgrec
`p
`nz
`p`vJ
>
>
Zcigekp{ gj c}mdsup hdu
-rcidpkzc pg rgeacp+
Nduu jigx rdpc gj c}mdsup hdu
-gr jsci eglusnvpkgl rdpc+
Pmrsup Jgrec Pmrsup jgrec ku ctsdi dl` gvvgukpc kl `krcepkgl pg pmcrdpc gj emdlhc gj ngnclpsn gj pmc c}mdsup hdu,
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PmrsupJgrec
`p
`nz
`p`vJ
>
>
Zcigekp{ gj xdpcr
-rcidpkzc pg vkvc+
Nduu jigx rdpc gj xdpcr
Pmrsup Jgrec Pmrsup jgrec ku ctsdi dl` gvvgukpc kl `krcepkgl pg pmcrdpc gj emdlhc gj ngnclpsn gj pmc c}vciic` xdpcr,
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`p
`nzJ>
`pZ`z +->
D}`z
+->
`p
}`Dz
+->
+-zDz>
Dz 2> L
DzJ
0,6+46466+-4666-+26,6- 02
2
>>
>
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VRKLEKVIC GJEGLUCRZDPKGL GJ NGNCLPSN
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Xmdp ku ngnclpsn7 Ngnclpsn ku `cjklc` du
Ngnclpsn ku d zcepgr,
UK Bduc slkpu? ah n u.4
znvzz
>+- vz
Jdupcr gbocep mdu mkhmcr ngnclpsn
Bkhhcr nduu gbocep mdu mkhmcr
-egnvdrklh 2 gbocepu gj udnc zcigekp{+
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Xmdp ku ngnclpsn7 Ngnclpsn ku `cjklc` du
Ngnclpsn ku d zcepgr,
UK Bduc slkpu? ah n u.4
znvzz
>+- vz
Luv 266>z
LuvB 36>z
T? Xmkem gbocep -D gr B+ ku jdupcr7
DB
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Vrklekvic gj Eglucrzdpkgl gj NgnclpsnPmc pgpdi ngnclpsn gj dl kugidpc` u{upcn
rcndklu eglupdlp -gr ku eglucrzc`+,
Xmcl lg c}pcrldi jgrec depu gl d u{upcn) pmc pgpdingnclpsn gj d u{upcn rcndklu eglupdlp xkpm pknc,
Lgpc?
Pmc ngnclpd gj pmc kl`kzk`sdi gbocepu kl pmc u{upcn nd{ emdlhc) bsp
pmc zcepgr usn gj dii pmc ngnclpd xkii lgp emdlhc xkpm pmc vduudhc
gj pknc -vrgzk`c` u{upcn ku kugidpc`+,
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Sv`dpc {gsr icepsrc lgpcu
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Xmdp ku dl kugidpc` u{upcn7
D u{upcn pmdp ku kugidpc` jrgn ,,,Lcp c}pcrldi jgrec gr pgrtsc
Lg c}pcrldi jgrec
klpcrldi jgrec
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C}dnvic 44? Eglucrzdpkgl gj Ngnclpsn
D
v
BvDv
EvDv
BvEv
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C}dnvic? Ndl * Uadpcbgdr`
46 L u
46 L u
Xmdp `gcu pmku u{upcn egnvrkuc7 Ndl * uadpcbgdr`
Ku pmku u{upcn kugidpc`7[cu) pmcrc ku lg lcp c}pcrldi jgrec,
Xmdp xkii bc pmc pgpdi jkldi ngn gj pmku u{upcn7 _crg
Kj ndl xdiau jgrxdr` xkpm ngn gj 46 L u) xmdp `g {gs
vrc`kep xkii mdvvcl pg uadpcbgdr`7
Kp xkii ngzc bdeaxdr` xkpm ngn gj 46 L u,
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@crkzdpkgl gj Vrklekvic gj Eglucrzdpkgl gj Ngnclpsn
-4+ jrgn Lcxpglu 2l`
Idx
`p
`v
J>
6)J >Kj
6>
`ppmcl
6>v
Pmku `crkzdpkgl ku xkpmkl pmc uegvc gj pmc u{iidbsu, Pcupc` kl Lgz 266;,
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@crkzdpkgl gj Vrklekvic gj Eglucrzdpkgl gj Ngnclpsn
-4+ jrgn Lcxpglu 5r`
Idx
Pmku `crkzdpkgl ku xkpmkl pmc uegvc gj pmc u{iidbsu, Pcupc` kl Lgz 266;,
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Mgx pg ugizc vrgbicnu gl Eglucrzdpkgl gj Ngnclpsn
@rdx `kdhrdnu gj u{upcn BCJGRC *DJPCR pmc klpcrdepkgl, Kl`kedpc pmc nduucu* zcigekpkcu gj pmc gbocepu kl pmc u{upcn,
Ndra d iklc diglh xmkem pmc idx kudvvikedbic * emgguc glc `krcepkgl duvgukpkzc,
Ctsdpc pmc pgpdi ngnclpsn bcjgrc dl` djpcrpmc klpcrdepkgl,
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C}dnvic? Bigeau gl egnvrcuuc` uvrklhUgispkgl?
Zcigekp{ gjB >7
Uklec lg lcp c}pcrldi jgrec) pgpdi ngnclpsn ku eglucrzc`?
> jk vv
+-06,6-+3-86,66 z!>.4un8,=>z
Pdaklh zcepgru pg pmc icjp du vgukpkzc
Pgpdi klkpkdi ngn > Pgp jkldi ngn
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Bdiikupke Vcl`sisn pg `cpcrnklc uvcc` gj bsiicp
mppv?''xxx,{gspsbc,egn'xdpem7z>gLHn0nZXNs[
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D B? Eglucrzdpkgl gj Ngnclpsn
B E? Eglucrzdpkgl gj Clcrh{
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Dvvi{ eglucrzdpkgl gj clcrh{?Iguu kl AC > Hdkl kl HVC
-n ! N+ Z2 > -n ! N+ h mZ2 > 2 h mZ > - 2 } ;,=4 } 6,606 +
> 6,==3=; n u.4
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Pdac zcepgru pg pmc rkhmp du vgukpkzc,Pgpdi ngnclpsnosupbcjgrc knvdep >Pgpdi ngnclpsnosupdjpcr knvdep
n z > -n ! N+ Z
-6,626+ z > -6,626 ! 0,;=+ -6,==3=;+
z > 224 n u.4
// Lgpc? Glec pmc vcl`sisn icdzcu kpu zcrpkedi vgukpkgl)
pmcrc ku d lcp c}pcrldi jgrec gl pmc u{upcn dl`
ngnclpsn gj pmc u{upcn `cercducu ngnclpsn lg iglhcr eglucrzc` ,