03 Dynamics Lecture Slides 3 of 4 2011

7/31/2019 03 Dynamics Lecture Slides 3 of 4 2011

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@{ldnkeuIcepsrc -5'0+


2/34

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


3/34

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>


4/34

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


5/34

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 ?


6/34

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


7/34

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


8/34

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`,


9/34

Lcxpglu 2l`

IdxJisk` jigx vrgbicnu


10/34

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

+->


11/34

Pmc c}mdsup hducu vsumdhdklup pmc dpnguvmcrc

bcmkl` pmc rgeacp,

Rgeacp vrgvsiukglRgeacp vrgvsiukgl Mgx `gcu kp xgra7Mgx `gcu kp xgra7


12/34

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


13/34

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`,


14/34

Gl 48 Osi{ 4;:;) pmc `d{ djpcr Dvgiig 44(u idslem)


15/34

pmc Lcx [gra Pkncu kuusc` pmku egrrcepkgl gzcr d 4;26 upgr{ kp

rdl ud{klh uvdecjikhmp ku knvguukbic,


16/34

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,


17/34

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,


18/34

`p

`nzJ>

`pZ`z +->

D}`z

+->

`p

}`Dz

+->

+-zDz>

Dz 2> L

DzJ

0,6+46466+-4666-+26,6- 02

2

>>

>


19/34

VRKLEKVIC GJEGLUCRZDPKGL GJ NGNCLPSN


20/34

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{+


21/34

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


22/34

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`+,


23/34

Sv`dpc {gsr icepsrc lgpcu


24/34

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


25/34

C}dnvic 44? Eglucrzdpkgl gj Ngnclpsn

D

v

BvDv

EvDv

BvEv


26/34

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,


27/34

@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;,


28/34

@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;,


29/34

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,


30/34

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


31/34

Bdiikupke Vcl`sisn pg `cpcrnklc uvcc` gj bsiicp

mppv?''xxx,{gspsbc,egn'xdpem7z>gLHn0nZXNs[


32/34

D B? Eglucrzdpkgl gj Ngnclpsn

B E? Eglucrzdpkgl gj Clcrh{


33/34

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


34/34

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` ,

03 Dynamics Lecture Slides 3 of 4 2011

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