03 dynamics lecture slides 2 of 4 2011
TRANSCRIPT
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
1/39
Grkiobl|Falwq}a *=/7"
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
2/39
Kasw`k| 9|w Fis `h O`wb`k *Fis `h Bka}wbi"
Bk wja im|akla `h azwa}kif h`}la|&
ik `mnalw iw }a|w l`kwbkqa| w` ma iw }a|w ikgik `mnalw bk o`wb`k l`kwbkqa| w` ma bk o`wb`k
sbwj l`k|wikw xaf`lbwr *qkbh`}o |uaag bk i |w}ibcjw fbka"
@}bcbkif |wiwaoakw `h Kasw`k| 9|w Fis
Bk wja im|akla }a|qfwikw h`}la|&ik `mnalw iw }a|w l`kwbkqa| w` ma iw }a|w ikg
ik `mnalw bk o`wb`k l`kwbkqa| w` ma bk o`wb`ksbwj l`k|wikw xaf`lbwr *qkbh`}o |uaag bk i |w}ibcjw fbka"
O`gbhbag xa}|b`k `h Kasw`k| 9|w Fis q|a wjb| xa}|b`k+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
3/39
Qugiwa r`q} falwq}a k`wa|
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
4/39
Kasw`k| =kg Fis `h O`wb`k
Wja }iwa `h ljikca `ho`oakwqo `h i m`grb| u}`u`}wb`kif w` wja kaw h`}la wjiw ilw| `k bw&
ikg wja o`oakwqo ljikca wida| ufila bk wja gb}alwb`k `h wja h`}la+
oxgguH
"*??
gwgw
gw
ogx
gw
xgo
"*"*$?
oiH?
L`k|wikw oi|| L`kwbkq`q| oi|| hf`s u}`mfao+gw
ogxH
"*?
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
5/39
Kasw`k|
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
6/39
Kasw`k| =kg Fis `h O`wb`k *Xbga`"
jwwu>//sss+r`qwqma+l`o/siwlj0x?Z1w`DHF@~b5(K]?9
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
7/39
J`s w` |`fxa H?oi u}`mfao|0
Sjiw b| wja akcbkag}bxbkc h`}la0
Sjiw b| wja
illafa}iwb`k `h wja
ws` xajblfa|0
Sjiw b| wja wak|b`k
bk wja w`s/mi}0Sjiw b| h}blwb`kif
h`}la `k wja w}qld
mabkc w`sag0
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
8/39
J`s w` |`fxa u}`mfao| bkx`fxbkc H?oi
\wau *9" > G}is iff m`gba| \wau *7" > ]a|`fxa h`}la| h`} ailj izb|
\wau *=" > G}is HMG h`} `mnalw \wau *
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
9/39
YQB^ / ]aliuBk i h}aa/m`gr gbic}io h`} i |bkcfa`mnalw& g` r`q g}is>
I+`kfr wja h`}la| ilwbkc `k wja `mnalw
M+ `kfr wja h`}la| wja `mnalw aza}w| `k`wja} `mnalw|
L+ m`wj wja h`}la| ilwbkc `k wja `mnalwikg wja h`}la| wja `mnalw aza}w| `k`wja} `mnalw|
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
10/39
Azioufa 1> L`kkalwag m`gba| u}`mfao
Ws` oi||a| `h = dc ikg < dc i}a }a|wbkc `k i |o``wj wimfa ikg l`kkalwag
mr i wiqw |w}bkc+ I h`}la `h =5 K b| iuufbag w` wja < dc oi||+ Liflqfiwa
i" wja illafa}iwb`k& i& `h wja |r|wao&m" wja wak|b`k& W& bk wja |w}bkc+
i ? 0
W ? 0
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
11/39
HMG h`} = dc oi||
HMG h`} < dc oi||
L`k|bga} HMG `h l`ombkag oi||a|
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
12/39
HMG h`} = dc oi||
mild
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
13/39
HMG h`} < dc oi||
mild
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
14/39
L`k|bga} HMG `h l`ombkag oi||a|
\`fxbkc wja < ayqiwb`k| cbxa> i ? 7 o |/= 4 W ? : K
mild
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
15/39
Azioufa 8> Fbhw U}`mfaoI oi|| `h = dc b| jqkc h}`o i |u}bkc mifikla bk ifbhw+ Sjiw g`a| wja |u}bkc mifikla }aig sjak wjafbhw b|
i" |wiwb`ki}r+m" i|lakgbkc sbwj ik illafa}iwb`k `h 5+= o |/=
l" i|lakgbkc sbwj i qkbh`}o xaf`lbwr `h 5+91 o |/9
g" i|lakgbkc sbwj i galafa}iwb`k `h 5+= o |/=
a ga|lakgbk sbwj ik illafa}iwb`k `h 5+9 o |/=
h" bh wja fbhw limfa m}`da+*I||qoa c ? 95 o |/= "
Hbc+ *i"> HMG `h wja = dc oi||Hbc+ *m" W ? \lifa }aigbkc k |u}bkcmifikla+
\bobfi} u}`mfao
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
16/39
W W
W
oc
W
oc
W
oc
W
oc
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
17/39
L`k|bga} HMG `h = dc oi||
*i" Fbhw b| |wiwb`ki}r *m" Fbhw b| i|lakgbkc i?5+= o |= *l" Fbhw b| i|lakgbkc i?5l`k|wikw xaf`lbwr
W ?0 W ? 0 W ? 0
Wida qusi}g| i| u`|bwbxa gb}alwb`k
i?5+= o |=
i ? 5 i ? 5
oc ? =5 K oc ? =5 K oc ? =5 K
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
18/39
L`k|bga} HMG `h = dc oi||
*g" Fbhw b| i|lakgbkc sbwjgalafa}iwb`k `h 5+= o |=
*a" Fbhw b| ga|lakgbkc sbwjillafa}iwb`k `h 5+9 o |=
*h" Fbhw limfa m}aid|
W ?0
W ? 0
W ? 0
Wida qusi}g| i| u`|bwbxa gb}alwb`k
= = =
oc ? =5 K oc ? =5 Koc ? =5 K
++
H}aa hiff
\u}bkc k`w azwakgagW ? 5 K
Sabcjwfa||
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
19/39
ufq| |bck
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
20/39
Sabcjw x|+ Oi||Oi|| b| i oai|q}a `h bw| bka}wbi+Bw b| i |lifi}+
Bw b| ik bkja}akw u}`ua}wr& bkgauakgakw `h f`liwb`k`} |q}}`qkgbkc|+
Sabcjw b| wja oai|q}a `h c}ixbwiwb`kifh`}la `k wja m`gr mr wja ai}wj+Bw b| i xalw`}+Bw xi}ba| h}`o ufila w` ufila+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
21/39
YQB^Sjblj h`}la b| wja sabcjbkc oiljbka oai|q}bkc0I+H}blwb`kif h`}la
M+Sabcjw `h oikL+L`kwilw h`}la `k sabcjbkc oiljbka mr oik
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
22/39
SabcjwSabcjw `h oik b| wja
c}ixbwiwb`kif h`}la ilwbkc mawsaak wja ai}wj ikg oik&
k`w mawsaak wja sabcjbkc oiljbka ikg oik+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
23/39
Sabcjw x|+ Iuui}akw Sabcjw Sabcjw `h ik `mnalw `k ai}wj }aha}| w` wja c}ixbwiwb`kif h`}la `k
wja `mnalw mr wja ai}wj+ *S ? oc"
Iuui}akw sabcjw `h ik `mnalw }aha}| w` k`}oif l`kwilw h`}laazua}baklag mr wja `mnalw+Bw lik ma oai|q}ag mr wja sabcjbkc |lifa `} wja |u}bkc mifikla+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
24/39
KK
K
K?5
SSabcjw `h wja oik+ L`k|wikw bk iff li|a|+ K`}oif l`kwilw h`}la `k oik *K" gbhha}|+
K Iuui}akw sabcjw `h wja oik+
Sabcjbkc oiljbka lik oai|q}a iuui}akw sabcjw& |bkla K? K mr K
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
25/39
R`q azua}bakla sabcjwfa||ka|| sjak wja}a
i}a ++ `k r`q+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
26/39
Bk|wikwika`q| x|+ Ixa}ica H`}la Bk|wikwika`q| H`}la
gwguH?
Ixa}ica H`}la
w
uu
w
u
H
bh
?
?;6
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
27/39
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
28/39
Sjblj jbw ji| i mbcca} bouqf|a0
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
29/39
Bouqf|a ikg Ljikca bk O`oakwqo H}`o Kasw`k| =kg Fis
Bkwac}iwbkc&
gw
guH?
uw h
=
bh
uw b
9
Bouqf|a
Bouqf|a Ljikca bk o`oakwqo
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
30/39
Bouqf|a ikg Ljikca bk O`oakwqo Bouqf|a b| i xalw`} *|bkla o`oakwqo b| i xalw`}"
\+B+ qkbw ? K |
Mi|a \+B+ qkbw ? dc o |9
\ioa i| qkbwh`} o`oakwqo
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
31/39
H`}la/wboa c}iuj *H/w c}iuj"Bouqf|a ? H gw ? i}ai qkga} Hw c}iuj
? ljikca bk o`oakwqo `h wja `mnalw
L`k|wikw H`}la
u ? i}ai qkga} c}iuj ? H
w
Xi}rbkc H`}la
u ? i}ai qkga} c}iuj ? gwH
w
w
=
9
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
32/39
O`oakwqo/wboa c}iuj *u/w c}iuj"
gw
guH?
gw
gu? c}igbakw `h uw c}iuj
? bk|wikwika`q| kaw h`}la `k wja m`gr
w
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
33/39
O`oakwqo/wboa c}iuj *u/w c}iuj"
w
uH
;?6
w
u
? c}igbakw `h fbka |acoakw n`bkbkc w9 ikg w=+
? ixa}ica kaw h`}la `k wja m`gr
wwH
bh
?
?;6
uw
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
34/39
Bk \qooi}r
Hw c}iuj> I}ai qkga} wja c}iuj cbxa|
ljikca bk o`oakwqo *bouqf|a"ljikca bk o`oakwqo *bouqf|a"
uw c}iuj> C}igbakw cbxa| wja ++ilwbkc `k wja m`grkaw h`}lakaw h`}la
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
35/39
L`klauw `h ixa}ica h`}la
Ixa}ica H`}la 6H;
6H; b| lj`|ak |qlj wjiw>i}ai qkga} l`k|wikw 6H;w c}iuj ? i}ai qkga} xi}rbkc Hw c}iuj |`wjiw m`wj cbxa wja |ioa bouqf|a
]aif h`}la b| q|qiffr k`w l`k|wikw+
Sa lik iuu}`zboiwa sbwj 6H; ilwbkc `xa} w+
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
36/39
= o|/9
w ? 5 |
w ? 5 w` 8 |
w ? : |
u h? 0H
* " G w b *b" wj w h wj m g w wb w :
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
37/39
*i" Gawa}obka *b" wja o`oakwqo `h wja m`gr iw wboa w ? : |*bb" wja ixa}ica h`}la `k wja oi|| *h}`o w?5 | w` w?: |"
*i" *b" Ljikca bk o`oakwqo
u ? i}ai qkga} H w c}iuj
? *8 $ 7" z 95
? 15 K |uh? ub $ u
? oxb $ 15
6H;
*bb" 6H; w ? u
6H; z : ? 15
6H; ? 8+ < K
w ? 5 |
H
w ? : |
u h? 18 K |u b ? 8 K |
u ? 15 K |
*m" G w b wj w h wj m g w wb w : bh wj h w g
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
38/39
*m" Gawa}obka wja o`oakwqo `h wja m`gr iw wboa w ? : | bh wja h`}la ilwagb+ `uu`|bwa w` wja gb}alwb`k `h xaf lbwr+
bb+ ua}uakgblqfi} w` wja gb}alwb`k `h xaf lbwr+*m" *b"Wida xalw`}| bk wja gb}alwb`k `h xaf`lbwr i| $xa+
Wjak& u ? / 15 K |
uh? ub $ u
uh? oxb $ */15"
*O`oakwqo ljikca ifsir|wida| ufila bk wja gb}alwb`k `hwja kaw h`}la)"
/ /
Kaciwbxa |bck m`gr k`s o`xa| `uu`|bwa w` bw| bkbwbif gb}alwb`k+
w ? 5 |H
w ? : |
77 K |15 K |
u b ? 8 K |
*m"*bb"
-
7/31/2019 03 Dynamics Lecture Slides 2 of 4 2011
39/39
uh? ub $ u *XALW@] ayk)"
vubv ? oxb ? *
Mr Urwjic`}i| Wjo&
u ? 89+8 d o |/9
*m"*bb"
Gb}alwb`k>
? wik/9*158" ? :