1 X La d - Departamento de Materialesmateriales.azc.uam.mx/gjl/Clases/SOLIDOSII/Repaso.pdf ·...

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Transcript of 1 X La d - Departamento de Materialesmateriales.azc.uam.mx/gjl/Clases/SOLIDOSII/Repaso.pdf ·...

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Ij

Uc terM) (C et mJryenetto de rcrcO

areo rec-on~Ja r

~

~oA bJ~

t 1 J

J 1 t b

) d A~hd) r---rl-----

-l ~ d

b

s U~ C~ ct ) MOl(c (+ 1 X

La di fenlca ~c mo~Yt-o dl)( ~Ic Ashy

~x = b~5 1 b) Nomd -- l~

10 ~1tcrctClb~ ~c mOflCYto

dlj y2 dAshy

n -C~fQ(JO 6

I~ j)(l ( ~ = ~ y2 h d)(

b= hy I 6

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rcspcco 0 su bose

SOLXOY Lo dferOCo ~c VY(J1Cc(tode i ndc~

l dT)( ~ Slt 2 dIt

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d (o-)C) d~

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~ A =(a-~)d Ib

~

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()

Q f ~)- a 3 rib b - ) r - ~ 2

Irgt= v I

b) cJ cute c L- l~

lu c ferclc~ de Jllj- pdAshy

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11~ = b

9

Dcter rnl ()e ~ pruJJC~ 0 d C t~ IC 0 cle ~ (deg0 ~ JU0 nl OS-- roc)o

eY a FI~Uro a) co~ rcspecto a lDs eJes )(~ ~ I ~ b) rc~pec+o a os eJe s tOCCI l zoctos ~n lt cer-tro~ de ~

b) Produ- de f c C d cOY

DS cdcs po ro c OS

I)lt~ I)(~ +xij A

x~~~

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d ~dx

~ I

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procuco de tnerdQ respeL-o d lo5 e~es Jl ~ y-

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T Qb=1-tshy -3H~ tt~I-S ~13b 5r

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tttshy ltL ~+ 3I~1Q I-Q44 c -3 b S-1shy

~ 1-2-=1-3 4

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res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

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1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

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T~~l~ I IHeM

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1

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2QO OSz I~

Detrml nese e ma me(-o de lnerc ltJ

rcspcco 0 su bose

SOLXOY Lo dferOCo ~c VY(J1Cc(tode i ndc~

l dT)( ~ Slt 2 dIt

In-tCCjrotdo 0 flLuodo ot~cr 10

1-~ 5 1 dA - ~)

lo drc rCr(o de 6rca

dA- Jd~

~H Ii Londo hiO~~Jos SCTOCJonks

1-6 ~ ~ t bl n-~) )

Pa r to que 0 d p(crCIa d~

J

1--c (rt Yle e~ YYoYYh~_YI --0

del 0reo f(OS t ro lt0 eY

d (o-)C) d~

y =~ ~~ ~ x= afij

~ A =(a-~)d Ib

~

rc~pec+odL Q

~ UCIO~ a) L 6 W~D cc- 1x Lo ch ft~ fc n ci0 ~ ~ fY() fYc f t-()

Jlx ~ 1j1 dA I 1-c~roYl 00 b ~

J~-o S~1J- -o tJ (q-a~lcl~co Qi (~- ~~)cb _ (~_uth)b _ Q lmiddot~ _J) _

()

Q f ~)- a 3 rib b - ) r - ~ 2

Irgt= v I

b) cJ cute c L- l~

lu c ferclc~ de Jllj- pdAshy

1 t-c~ ran do ~ j ~ S )pound1 dh shy

11~ = b

9

Dcter rnl ()e ~ pruJJC~ 0 d C t~ IC 0 cle ~ (deg0 ~ JU0 nl OS-- roc)o

eY a FI~Uro a) co~ rcspecto a lDs eJes )(~ ~ I ~ b) rc~pec+o a os eJe s tOCCI l zoctos ~n lt cer-tro~ de ~

b) Produ- de f c C d cOY

DS cdcs po ro c OS

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x~~~

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procuco de tnerdQ respeL-o d lo5 e~es Jl ~ y-

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T Qb=1-tshy -3H~ tt~I-S ~13b 5r

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~ 1-2-=1-3 4

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1lt(e l C1 f~spec10 C~ cJC)( de jf dr-cO

res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

r - l tr ~ - 1

~f f 1 + 1 ( lJl Yi r2 ( +-09 ~V(l v)

1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

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T~~l~ I IHeM

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1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

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1--c (rt Yle e~ YYoYYh~_YI --0

del 0reo f(OS t ro lt0 eY

d (o-)C) d~

y =~ ~~ ~ x= afij

~ A =(a-~)d Ib

~

rc~pec+odL Q

~ UCIO~ a) L 6 W~D cc- 1x Lo ch ft~ fc n ci0 ~ ~ fY() fYc f t-()

Jlx ~ 1j1 dA I 1-c~roYl 00 b ~

J~-o S~1J- -o tJ (q-a~lcl~co Qi (~- ~~)cb _ (~_uth)b _ Q lmiddot~ _J) _

()

Q f ~)- a 3 rib b - ) r - ~ 2

Irgt= v I

b) cJ cute c L- l~

lu c ferclc~ de Jllj- pdAshy

1 t-c~ ran do ~ j ~ S )pound1 dh shy

11~ = b

9

Dcter rnl ()e ~ pruJJC~ 0 d C t~ IC 0 cle ~ (deg0 ~ JU0 nl OS-- roc)o

eY a FI~Uro a) co~ rcspecto a lDs eJes )(~ ~ I ~ b) rc~pec+o a os eJe s tOCCI l zoctos ~n lt cer-tro~ de ~

b) Produ- de f c C d cOY

DS cdcs po ro c OS

I)lt~ I)(~ +xij A

x~~~

YeA~~ 1

d ~dx

~ I

Vara l a secudY1 lVos- rocu ~( a ~1~Ula) cE~C(m-Ye~lt c

procuco de tnerdQ respeL-o d lo5 e~es Jl ~ y-

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l

ectCfQ~ () Alrco (em Z) x CCN) - r)(~ ((mit)Y ((m)

T Qb=1-tshy -3H~ tt~I-S ~13b 5r

IT (161-1shy 0 0 0

tttshy ltL ~+ 3I~1Q I-Q44 c -3 b S-1shy

~ 1-2-=1-3 4

II)(Ij =shy - lt2t 31l cml t

1lt(e l C1 f~spec10 C~ cJC)( de jf dr-cO

res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

r - l tr ~ - 1

~f f 1 + 1 ( lJl Yi r2 ( +-09 ~V(l v)

1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

D~-h~middotrfl-Y~sc e meS la-do

T~~l~ I IHeM

IOlb(m

1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

~UIO~

)(

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I I fClb rxlIe - -~td-~ Tc(~4

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r IO ~bFI 141 S )gl1Qq- -1I ~amp il~ qbt+_ 0 ytVlb

r-

ID ~O qbn y ~l(S Q2 UOq

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X

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30Itshy 0I )0 I (lbt 1shy

Qbt-1shy 311546~1b11I 1443fb

2QO OSz I~

9

Dcter rnl ()e ~ pruJJC~ 0 d C t~ IC 0 cle ~ (deg0 ~ JU0 nl OS-- roc)o

eY a FI~Uro a) co~ rcspecto a lDs eJes )(~ ~ I ~ b) rc~pec+o a os eJe s tOCCI l zoctos ~n lt cer-tro~ de ~

b) Produ- de f c C d cOY

DS cdcs po ro c OS

I)lt~ I)(~ +xij A

x~~~

YeA~~ 1

d ~dx

~ I

Vara l a secudY1 lVos- rocu ~( a ~1~Ula) cE~C(m-Ye~lt c

procuco de tnerdQ respeL-o d lo5 e~es Jl ~ y-

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l

ectCfQ~ () Alrco (em Z) x CCN) - r)(~ ((mit)Y ((m)

T Qb=1-tshy -3H~ tt~I-S ~13b 5r

IT (161-1shy 0 0 0

tttshy ltL ~+ 3I~1Q I-Q44 c -3 b S-1shy

~ 1-2-=1-3 4

II)(Ij =shy - lt2t 31l cml t

1lt(e l C1 f~spec10 C~ cJC)( de jf dr-cO

res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

r - l tr ~ - 1

~f f 1 + 1 ( lJl Yi r2 ( +-09 ~V(l v)

1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

D~-h~middotrfl-Y~sc e meS la-do

T~~l~ I IHeM

IOlb(m

1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

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I I fClb rxlIe - -~td-~ Tc(~4

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r IO ~bFI 141 S )gl1Qq- -1I ~amp il~ qbt+_ 0 ytVlb

r-

ID ~O qbn y ~l(S Q2 UOq

~1) ~ J I bull Ii Zs

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T ~4~ rr

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~ ((111)A (CNt)Ie ((114) s=E +Pt tj( 2 L(~4~M~CIJIl- I tbi-tshy 311-pound 44gtLL_~6 ~ li

30Itshy 0I )0 I (lbt 1shy

Qbt-1shy 311546~1b11I 1443fb

2QO OSz I~

Vara l a secudY1 lVos- rocu ~( a ~1~Ula) cE~C(m-Ye~lt c

procuco de tnerdQ respeL-o d lo5 e~es Jl ~ y-

J _____~I~II2km

l

ectCfQ~ () Alrco (em Z) x CCN) - r)(~ ((mit)Y ((m)

T Qb=1-tshy -3H~ tt~I-S ~13b 5r

IT (161-1shy 0 0 0

tttshy ltL ~+ 3I~1Q I-Q44 c -3 b S-1shy

~ 1-2-=1-3 4

II)(Ij =shy - lt2t 31l cml t

1lt(e l C1 f~spec10 C~ cJC)( de jf dr-cO

res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

r - l tr ~ - 1

~f f 1 + 1 ( lJl Yi r2 ( +-09 ~V(l v)

1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

D~-h~middotrfl-Y~sc e meS la-do

T~~l~ I IHeM

IOlb(m

1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

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I I fClb rxlIe - -~td-~ Tc(~4

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r IO ~bFI 141 S )gl1Qq- -1I ~amp il~ qbt+_ 0 ytVlb

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X

T ~4~ rr

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~ ((111)A (CNt)Ie ((114) s=E +Pt tj( 2 L(~4~M~CIJIl- I tbi-tshy 311-pound 44gtLL_~6 ~ li

30Itshy 0I )0 I (lbt 1shy

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2QO OSz I~

1lt(e l C1 f~spec10 C~ cJC)( de jf dr-cO

res rcdo 0 ~Jc centrOckt ~s~rClJ a c) 5 ~

r - l tr ~ - 1

~f f 1 + 1 ( lJl Yi r2 ( +-09 ~V(l v)

1)( = r+ A- ct =shy

1)~~crIhc c- mOYCfto Iss a cent(odc cc +non9 v o) s~ lt rrcrrdI1o

I x en SoU ba ~c e~ l bh~ Adc mos dc +a lYillc d OOmc(-to TA I e-11 t Q~

po-ri c ~u pcnOf de td o~ltu 0 ~ ScvC r ~

- Poro de +u rolof r BSI JF 1)C = I6~ + Ad~

t Pe s r~du nco I~EI e lSB =1)( - A-d~ ~

~ ~68 bh shy

x 3b

h

Poro ~ctc f(l~ror

rf~ -= 1 8B + AJ~

D~-h~middotrfl-Y~sc e meS la-do

T~~l~ I IHeM

IOlb(m

1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

~UIO~

)(

~v~o Ix cc drru LOn -pcsto cslift - 4~ ~ 2So c rn 4 I

I I fClb rxlIe - -~td-~ Tc(~4

- ~((~) g (CM) T)I- Ic4- A42 (Cr

r IO ~bFI 141 S )gl1Qq- -1I ~amp il~ qbt+_ 0 ytVlb

r-

ID ~O qbn y ~l(S Q2 UOq

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~ ((111)A (CNt)Ie ((114) s=E +Pt tj( 2 L(~4~M~CIJIl- I tbi-tshy 311-pound 44gtLL_~6 ~ li

30Itshy 0I )0 I (lbt 1shy

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2QO OSz I~

D~-h~middotrfl-Y~sc e meS la-do

T~~l~ I IHeM

IOlb(m

1

moOeJ-to c~ n~nmiddot a 1)( J r~ de Q F ~JCl

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)(

~v~o Ix cc drru LOn -pcsto cslift - 4~ ~ 2So c rn 4 I

I I fClb rxlIe - -~td-~ Tc(~4

- ~((~) g (CM) T)I- Ic4- A42 (Cr

r IO ~bFI 141 S )gl1Qq- -1I ~amp il~ qbt+_ 0 ytVlb

r-

ID ~O qbn y ~l(S Q2 UOq

~1) ~ J I bull Ii Zs

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I fY (G) () I -

~ ((111)A (CNt)Ie ((114) s=E +Pt tj( 2 L(~4~M~CIJIl- I tbi-tshy 311-pound 44gtLL_~6 ~ li

30Itshy 0I )0 I (lbt 1shy

Qbt-1shy 311546~1b11I 1443fb

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