Class 8 Kinematics RigidSolid

7/23/2019 Class 8 Kinematics RigidSolid

1/21

@c prlhcàg > `st r`cgoiljgdl g alviai`jtl

`p`j `j `.

@j `c sistàg alstrgdl, cg v`cloidgd d`c olccgr R `s d` 8 a/s

.

cgs hgrrgs LW y WR ougjdl 1 40. Pticizgr `c atldl d`d`nijioij vòtlrigc.


2/21

@c prlhcàg > `st r`cgoiljgdl g alviai`jtl

`p`j `j `.

WRWRWR rvv /

vW (D`nijioij)(7)40

a/sivR

........vR

8,2 (Dgtl)

_lcuoij plr d`nijioij vòtlrigc

W 40

a/skivR

................... akirR

.................../

(D`nijioij vòtlrigc)+8,22 2

2,=49 -2,=49 (D`nijioij vòtlrigc)

Wv

R

kivW

........................................ eWRWR

vW ols(40) -vW s`j(40)

ei

_` r`àpcgzg cls vòtlr`s `j cg òugoij (7);Rv

a/s............

Wv

..........WR

.............................

.............................,...............,..............,....., 2228 2,626vW -2,626vW2,=49 -2,=49 2

.

7.474

rgd/s..........LW -7.76=

2 2 WR


3/21

@c prlhcàg 7 `studig cg oljs`rvgoij d`

`j`rf g `j s s àg ` pgr ou gs.

Cgs tr`s `sn`rgs, d` agsg a, `stj oljòtgdgs a`digjt`

rgapg oiroucgr. Cg nu`rzg d` agfjitud oljstgjt` R s` gpciogp`rp`jdioucgr g cg hgrrg `j su pujtl a`dil. _i `c sistàg ijioig

` r`plsl j 1 . ` `ra jgr;

g) Cg ajiag nu`rzg Raij qu` mgo` qu` `c sistàg `st `j

r`plsl `j 1>2.h) Cg v`cloidgd olaj d` cgs `sn`rgs `j 1>2 si R18Raij.


4/21

@c prlhc`ag 7 `studig cg oljs`rvgoij d`

`j`rf g `j s s `ag ` pgr ou gs.

Dgtua

Rlsioij ijioigc Rlsioij nijgc

G) Ajiag nu`rzg pgrg r`plsl `j 1>2

......7T .........8T2 K 2 KH) ^`cloidgd olaj pgrg R18Raij.

......7T .........8T2 K 8(av8/8)

.......................7 .........8^- - ........ NJOP 87 R (/?)(r/8) ..............7 - . afr .......................... NJOP 87 (7=af/) (/?)(r/8)

2 K ..............8^

.............aij R 9af/

888777 NJO )(

(7) ?fr/8

888777 NJO )(

(8)............v


5/21

Pj ou`rpl sla`tidl g alviai`jtl pcgjl f`j`rgc

`xp`r a`j g rgs go j y rl go j.

Alviai`jtl pcgjl f`j`rgc

Trgscgoij olj H Xltgoij `j H


6/21

@c prlhcàg 8 `st r`cgoiljgdl g alviai`jtl

`p`j `j ` xga`j -

@j `c sistàg alstrgdl cg v`cloidgd d`c hclqu` O `s d` 922

aa/s mgoig cg d`ròmg. D`t`raijgr cg v`cloidgd d`c hclqu`

D. (Jl uticizgr `c o`jtrl ijstgjtj`l d` rltgoij).


7/21


`p`j `j ` xga`j -

HHO

HHv

Ov

O

>2

O Ov

OHv /

.. olj O .. j OXltgoij

G) ^`cloidgd H (slcuoij `j hgrrg HO)

Trgscgoij

Digfrgag oij`atiol d` cg hgrrg HO

H) _lcuoij frniog d` v`cloidgd`s

a/s92,Ov

Cg hgrrg GH rltg gcr`d`dlr d` G.

\\\\\GHHv

sa /...........Ov

2,922

(7)

).(.........)(......... s`j

v

s`j

v OH

?2 720

srgdrv OHOHHO /........../ // 2.907

..a/s..........vH

2,4>>

.a/s..........vH/O

2,>09


8/21


`p`j `j ` xga`j -

H HD

HHv

vHvH

D?2

.. olj H .. j HXltgoij

O) ^`cloidgd d`c hclqu` D

Trgscgoij

Digfrgag oij`atiol d` cg hgrrg HD

D) _lcuoij frniog d` v`cloidgd`s

Dv

_` pcgjt`g cg c`y d` s`jls `j HD;

vv HD

sa /...........Hv 2,4>>

2 922

_` r``apcgzg vH `j (8);

).(.........)(......... s`js`j 720 ?2

srgdrv DHDHHD /........../ // 2,049

D ..........

savHD

/.........../

2,>09


9/21

@c o`jtrl ijstgjtj`l d` rltgoij (OIX) `s uj

ujtl d` v`cloidgd jucg slhr` `c ougc uj scidlfirg `j uj ijstgjt` dgdl.

rvv

v 12

OGG rv /

GOG rv

G

v `rait`j d`nijir cgs v`cloidgd`s

Gv

Gv

d` tldgs cgs pgrtoucgs d`c scidl O; O`jtrl ijstgjtj`l d` rltgoij


10/21

Cg uhiogoij d`c OIX d`p`jd` d` cg agfjitud,

r`oo j y s`j l ` ls puj ls ` s l.

pgrgc`clssljjly HG vv

pgrgc`clsy HG vv


11/21

@c prlhc`ag ? `st r`cgoiljgdl gc oljo`ptl d`

`j rl js gj j`l ` rl go j.

D`t`raijgr cg v`cloidgd gjfucgr d` cgs hgrrgs HO y OD `j `c


12/21

@c prlhcàg ? `st r`cgoiljgdl gc oljo`ptl d`

`j rl js gj j`l ` rl go j.

OIX

HOIXH

r v\\\\\

/

HO

OIXHr /

OIXOr /

Ov

?2H O

2,4 a

Ov

Hv

G) ^òtlr`s d` plsioij `j hgrrg HO.

_` pcgjt`g cg c`y d` s`jls;

8.22vH1 a/s

H) `cloidgd gjfucgr y v`cloidgd `j O.

_` sgh` plr d`nijioij;.)(...........)(.........

/

s`js`jOIXH 92 >2 (7)

_` r`à cgzg HO j 7 ;srgdrv OIXHHHO /......../ / 4,??

sarv HOOIXOO /............./

ar OIXH .........../

ar OIXO .........../

2,4>8

,

srgdrv DOOOD /......../ / 0,222,8?7


13/21

@c OIX pu`d` d`t`raijgr cg r`cgoij d`

v` lo g `s g sl u gs.

OGvG

/

OHvH

(D`nijioij)

(D`nijioij)

OGvOGv GH /)tgj( (X`cgoij trifljlatriog y

d`nijioij)

(X`cgoij d`GH v`cloidgd`s ghslcutgs)

oljlo gssr`oo lj`;y HG vv

oljloidl;Gv


14/21

@c prlhcàg 4 `studig `j`rfg `j uj sistàg d`

pgr ou gs y s l r f l. x - .

Ogdg ujl d` cls d`scizgdlr`sG y H ti`j` ujg agsg d` 4 ef y

s` au`v`j olj r oo j `sprò g ` j su r`spò vg fu g.

Pjg nu`rzg mlrizljtgc oljstgjt` d` 82 J s` gpciog gc pujtla`dil d` cg hgrrg rfidg d` agsg d`spròighc`. _i `c oljkujtl

s` cih`rg d`sd` `c r`plsl olj 1 ?2 y `c r`slrt` sij d`nlragr,ogcoucgr cgs v`cloidgd`s d` cls d`scizgdlr`s ougjdl 1 >2.


15/21



>2

J.X.

ef4 HG aa Rlsioij 8H

G) @j`rfg `j plsioij 7 (1?2).

K7 ......T 88

8 HG vvT ................... 2 2,0(4) 2,0(4)

H) @j`rfg `j plsioij 8 (1>2).

K^ ....7 2,0(02)(2,74>)8

2K^f ........................... 7 4f(2,42ols?2) ,

K^ ............................ 8 2,0?>K^f ........................... 8 4f(2,42ols>2) ,

88 HG vv ................... >,>6

888777 NJO )(NJO ......... 87,

(7)8 8


16/21



>2

J.X.

ef4 HG aa Rlsioij 8H

O) X`cgoij d` v`cloidgd`s (1>2).

_` pu`d` usgr `c oljo`ptl d` OIX; .............vv HG tgj(>2) (8)

.a/s..........v G 7,0=2

G/OIXGHG rv ....................v GHG 2,42s`j(>2)

D` cgs `ougoilj`s (7) y (8)

H/OIXGHH

....................

v GHH 2,42ols(>2)

.a/s..........v H2,978


17/21

@c prlhcàg 0 `st r`cgoiljgdl gc oljo`ptl d`

. xga`j - .

@j `c ijstgjt` alstrgdl, cg hgrrg @D ti`j` ujg v`cloidgd

1

mgoig cg d`ròmg olj v`cloidgd v@1 7 a/s. _` pid`d`t`raijgr, usgjdl `c oljo`ptl d` OIX, cgs v`cloidgd`s

jo u r ròo lj`s ` ls puj ls y pgrg s` js gj `.


18/21


. xga`j - .

D

a/s7@v

@

D@@D

G) D`nijioij d` OIX 7 (Hgrrg D@).

Cg v`cloidgd d` @ `s mgoig cg..d`r`omg _` pcgjt`g cg c y d` s`jls;

7@/OIXrv @D@ a7@/OIX .........r 2,82 (7) .)(...........)(.........

/

s`j

D@

s`j

rD 7OIX

742 8?.46

savD /.........8,8>

(8)

a7D/OIX ...........r , ..


19/21


H

. xga`j - .

D

HD

a/s7@v

Dv

@

@D

H) D`nijioij d` OIX 8 (Hgrrg HD).

_` pcgjt`g cg c`y d` s`jls; Cg v`cloidgd d` H s mgoig cg..d`r`omg-

.)(...........)(.........

/

s`j

HD

s`j

rD 8OIX

>2 0?.46

grrihg8H/OIXrv HDH

savH /......... 8,?9 (4)

sar

vDHD /..........

8D/OIX =,?= (?)

a8D/OIX ...........r ,


20/21

@c prlhc`ag > `st r`cgoiljgdl gc oljo`ptl d`

. xga`j - .

_i `c `scghjGH `st firgjdl gcr`d`dlr d`c pgsgdlr uhiogdl

GH ,

d`t`raijgr (usgjdl `c atldl d`c OIX);g) Cg v`cloidgd d`c hclqu` O.

h) Cg v`cloidgd d`c hclqu` @.


21/21

@c prlhc`ag > `st r`cgoiljgdl gc oljo`ptl d`

D

. xga`j - .

rgd/s0GHwD

Dv

O

arOIXD

......../

7

7,844

Ov

Dv

ar OIXD ......../ 8

7,970

H

vH

7OIXOr /

vH1 a/s ar OIXH .........../ 7

2,082

OHD D@

7,02@

G) D`nijioij d` OIX 7.

_` pcgjt`g cg d`nijioij `j scidl ..;

OIX@ .........../ 8 ,

H) D`nijioij d` OIX 8.OHD

@v

OHDOv ........ 2,?2 savO /......... 2,=6

..........HOHD

........OHD

,

......./DD@ v rgd/s........D@rD/OIX8 7,==

7 49? 8,=2OHDDv ........ , savD ......... ,

........HDOIX7 ?=,=

........ .........

Class 8 Kinematics RigidSolid

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