03 dynamics lecture slides 1 of 4 2011
TRANSCRIPT
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Bsij`ceuAmer}m $:.2#
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Wdjr cu Bsij`ceu> Fcim`jrceu ajig}jgm lnbmuercocig`nrcni
Bsij`ceu bmjau wcrd rdm }ibmascig ej}umu nl `ncni
Wm wcaa annf jr dnw rdm eniemxru nllnrem jib `juu `jfm
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Jcurnram
Gjacamn
Imwrni
$:
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Jcurnram $542 OE 5?? OE#
Gmmf xdcanunxdm! rmjedm nl
Jamtjibm rdm Gmjr)
Jcurnramu rdmns ni xdsuceu;
ni i}j ni n `n ni mxmi u nienirci}jrcni nl lnem)
Dmj|cm rdcigu ljaa ljurm! rdm uxmmb
omcig xnxnrcnija rn rdm wmcgdr) Gmnemirce |cmw nl mjrd ju emirm nl
}ic|mum)
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Gjacamn $:=
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Cujje Imwrni $:
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Imwrniu :ur Ajw nl @nrcni $Ajw nl Cimrcj#
Ci rdm joumiem nl mtrmija lnemu!
ji nokmer jr mur enirci}mu rn om jr mur jibji nokmer ci `nrcni enirci}mu rn om ci `nrcni
wcrd eniurjir |manecrs $}icln` uxmmb ci j urjcgdr acim#
Ncgcija urjrm`mir nl Imwrniu :ur Ajw
Ci rdm joumiem nlmu}arjir lnemu!
ji nokmer jr mur enirci}mu rn om jr mur jib
ji nokmer ci `nrcni enirci}mu rn om ci `nrcniwcrd eniurjir |manecrs $}icln` uxmmb ci j urjcgdr acim#
@nbclcmb |mucni nl Imwrniu :ur Ajw }um rdcu |mucni)
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Wdjr cu cimrcj>
Cimrcj cu rdm mucurjiem nl j onbs rn edjigm cru urjrm nl mur n
`nrcni wdmi jermb ni os j lnem)
@juu cu j `mju}m nl j onbsu cimrcj)
Gmjrm `juu Gmjrm cimrcj
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Cl rdm wjgni cu jr mur!jib ons x}aau rdm wjgni lnwjb!
Cl rdm wjgni cu `n|cig lnwjb!jib ons urnxu rdm wjgni!
O}r majrc|m rn rdm wjgni! rdm gca cu
ummi rn ljaa ojefwjb)
Rdm gca wcaa rmib rn m`jci jr mur
wr rdm gn}ib)
Rdm gca wcaa enirci}m rn `n|m
lnwjb wr gn}ib) O}r majrc|m rn rdm wjgni! rdm gca cu
ummi rn ljaa lnwjb)
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Imwrniu :ur Ajw $\cbmn#
drrx;..www)sn}r}om)en`.wjred>|0-e@3U?J{]?4
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Z]C[
Migcim Rd}ur Lnem _mucurc|m Lnem
]xrd}ur
Cl rdm onjr cu e}cucig jr eniurjir |manecrs! wdjr bnmu rdcu rmaa sn}
jon}r rdm lnemu jercig ni rdm onjr>
Wmcgdr
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Imwrniu ?ib
Ajw nl @nrcni
Rdm jrm nl edjigm nl `n`mir}` nl j onbs
cu xnxnrcnija rn rdm imr lnem rdjr jeru ni cr!jib rdm `n`mir}` edjigm rjfmu xajem ci rdm bcmercni nl rdm lnem)
L 0 `j
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Wdjr cu `n`mir}`> @n`mir}` cu bmlcimb ju
@n`mir}` cu j |mern)
UC Ojum }icru; fg ` u-:
|`x||
0#$ x
|
Ljurm nokmer dju dcgdm `n`mir}`$en`xjcig ? nokmeru nl uj`m uc{m#
Ocggm `juu nokmer dju dcgdm`n`mir}`
$en`xjcig ? nokmeru nl uj`m |manecrs#
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Murc`jrm rdm `jgicr}bm nl `n`mir}` Uxmmbcig o}aamr
`08)8? fg |0:888 .u
x 0 $8)8? fg #$:888 `.u# 0 ?8 fg `.u
Uanw `n|cig udcx`048!888 rniu |05 .u
x 0 $48!888!888 fg#$5 `.u#
0 $?)2 t :84 # fg `.u
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Imwrniu ?ib
Ajw nl @nrcniRdm jrm nl edjigm nl`n`mir}` nl j onbs
cu xnxnrcnija rn rdm imr lnem rdjr jeru ni cr!
jib rdm `n`mir}` edjigm rjfmu xajem ci rdm bcmercni nl rdm lnem)
`|bbxL
#$00
br
`b|
br
|b`
#$#$&0
`jL0
Eniurjir juu Enirci}n}u juu lanw xnoam`)br
`b|L
#$0
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Imwrniu ?ib
Ajw nl @nrcni _jrm nl edjigm nl `n`mir}` cu xnxnrcnija
rn rdm imr lnem jercig
Rc`m r 0 8 u Rc`m r 0 : u:
: ?
0 fg`ux :? =
0 fg`ux I#5$nru`fg5:
?= ?-0
0
br
bx
_jrm nl edjigm nl `n`
:
: 8
0 fg`ux:
? =
0 fg`ux
:
: ?
0 fg`ux:
? 8
0 fg`ux
#=$nr`fg=:
8= ?-I
br
bx0
0
I#?-nr$`fg?:
?8 ?-0
0
br
bx
Wdced nl rdmum gnal ojaau dj|m ommi dcr os rdm ajgmur lnem>
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Imwrniu ?ib
Ajw nl @nrcni @n`mir}` edjigm rjfmu xajem ci rdm bcmercni nl rdm lnem
Rc`m r 0 8 u Rc`m r 0 : u
:
: ?
0 fg`ux :? =
0 fg`ux L:x
?x
:
: 8
0 fg`ux:
? =
0 fg`ux
:
: ?
0 fg`ux:
? 8
0 fg`ux
Wdced bcmercni bcb rdm lnem dcr rdm gnal ojaa> $bn |mern u}orjercni#
L
L
?x
:x
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Imwrniu 5b
Ajw nl @nrcni
Cl j onbs J mtmru j lnem L ni onbs O! rdmi onbs O mtmru j lnem L ni onbs
J! nl rdm uj`m uc{m jib janig rdm uj`m acim! o}r ci rdm nxxnucrm bcmercni)
Lnemu jawjsu nee}
ci xjcu) J ucigam
cunajrmb lnem ejiinr
mtcur)
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Imwrniu 5b Ajw
Jercni _mjercni-Xjc
Ojefwjb lnem ni gn}ib
os lnnr
Lnwjb lnem ni lnnros gn}ib
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Imwrniu 5b
Ajw nl @nrcni
Wdn mtmru j gmjrm lnem ni rdm nrdm>
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Edjjermcurceu nl Jercni-_mjercni xjc nl lnemu
:# Rdms jer ni rwn bcllmmir onbcmu jib un bn inr ejiema n}r)
?# ms jm j wjsu mz}j i jgi } m ji nxxnu m i me ni)5# Rdms jm nl rdm uj`m ijr}m)
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Z]C[; Jm rdmum ? lnemu jercni-mjercni xjc>
5# Rdms jm nl rdm uj`m ijr}m>
:# Rdms jer ni rwn bcllmmir onbcmu>
?# Rdms jm jawjsu mz}ja ci `jgicr}bmjib nxxnucrm ci bcmercni>
Jercni-_mjercni xjc
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Z]C[; Jm rdmum ? lnemu jercni-mjercni xjc>
Inr Jercni-_mjercni xjc
5# Rdms jm nl rdm uj`m ijr}m>
:# Rdms jer ni rwn bcllmmir onbcmu>
?# Rdms jm jawjsu mz}ja ci `jgicr}bm jib nxxnucrm ci bcmercni>
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Edjjermcurceu nl Jercni-_mjercni lnemu $enirb#Wdjr cu rdm `mjicig nl uj`m ijr}m>
Gj|crjrcnija lnem xjc
Mamern`jgimrce lnem xjc$m)g) rmiucni! jc mucurjiem! lcercni! }xrd}ur#
Uj`m ijr}m; enirjer lnem Uj`m ijr}m; gj|crjrcnija lnem
Bcll ijr}m;
gj|crjrcnija lnem
jib enirjer lnem jercig ni
j amjercni-mjercni xjc jercni-mjercni xjc
$inr jercni-mjercni xjc#
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Eajuuce Dnum jib Ejr X}{{am J dnum cu x}aacig ni j ejr! jib rdm ejr x}aau ojef wcrd rdm
uj`m j`n}ir nl lnem) Cl onrd lnemu jm mz}ja $jeenbcig rn
Imwrniu 5b
ajw#! dnw eji rdm dnum jib ejr `n|m>
Rdm lnemu jer ni bcllmmir onbcmu*
Rcef; Bjw umxjjrm lmm-onbs bcjgj`u! nim ln rdm Dnum jib
nim ln rdm Ejr! rn jijasum rdm lnemu)
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Lnemu ni dnum $LOB nl dnum#
Cl x}ud nl gn}ib ni dnn|mu 9 x}aa nl ejr! dnum jeemamjrmu lnwjb
Cl x}ud nl gn}ib ni dnn|mu 0 x}aa nl ejr! dnum mcrdm m`jciu jr mur
n `n|mu jr eniurjir |manecrs)
X}ud nl gn}ibni dnn|muX}aa nl ejr
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Lnemu ni ejr $LOB nl ejr#
Lcercni
Cl x}aa nl dnum 9 lcercni! ejr jeemamjrmu lnwjb
Cl x}aa nl dnum 0 lcercni! ejr mcrdm m`jciu jr mur n `n|mu wcrd
eniurjir |manecrs
X}aa nl dnum
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X}rrcig rdm dnum-ejr usurm` rngmrdm
X}aa nl ejr
ni dnumX}aa nl dnum
X}ud nl
gn}ib ni
dnn|mu
Lcercni
Jercni-_mjercni xjc jer ni RWN bcllmmir onbcmu **
Rdmmlnm rdms BN INR ejiema mjed nrdm n}r)
Rdm dnum `n|mu b}m rn lnemu jercig ni rdm dnum $inr rdm jercni-
mjercni xjc ni rdm djimuu#
Jercni-_mjercni Xjc
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Z]C[In`ja enirjerIn`ja enirjer
lnem ni `}g oslnem ni `}g os
rjoam $I#rjoam $I#
Z; I jib W jm nxxnucrm jib mz}ja! o}r
rdms jm inr jercni-mjercni xjc) Wds>
Rdms jm nl bcllmmir ijr}m $gj|crjrcnija |u)
mamern`jgimrce lnem#
Rdms jer ni rdm UJ@M onbs
Wmcgdr nl `}g $W#Wmcgdr nl `}g $W#
Z; I jib W jm nxxnucrm jib mz}ja)Wds>
-Rdm `}g cu jr mur)
-I ojajiemu W)
-Imr lnem 0 8)
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Wdjr jm rdm mjercni xjcu ln I jib W>
In`ja lnem ni `}gIn`ja lnem ni `}gos rjoam $I#os rjoam $I#
Wmcgdr nl `}g $W#Wmcgdr nl `}g $W#
Jercni-_mjercni Xjc
In`ja lnem ni rjoam os `}gIn`ja lnem ni rjoam os `}g
Gj|crjrcnijaGj|crjrcnija
lnem ni mjrdlnem ni mjrd
os `}gos `}g
Jercni-_mjercni Xjc
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Lanjrcig b}ef; cbmircls rdm jercni-mjercni xjcu
]xrd}ur $]#]xrd}ur $]#
Rdm xcer}m omanw udnwu rdm lnemu jercig ni rdm b}ef $Lmm Onbs Bcjgj`#
Wmcgdr nl b}ef $W#Wmcgdr nl b}ef $W#
Cbmircls rdm jercni-mjercni xjcu)
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]xrd}ur $]#]xrd}ur $]#
Lanjrcig b}ef; cbmircls rdm jercni-mjercni xjcu
Wmcgdr nl b}ef $W#Wmcgdr nl b}ef $W#
Bnwiwjb lnemBnwiwjb lnem
ni wjrm os b}efni wjrm os b}efGj|crjrcnija lnem niGj|crjrcnija lnem ni
mjrd os b}efmjrd os b}ef
Jercni-_mjercni XjcJercni-_mjercni Xjc
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Mib nl :ur Amer}m $:.2#