Jee-2014-Booklet3-Hwt-system of Particles & Rotational Motion

7/22/2019 Jee-2014-Booklet3-Hwt-system of Particles & Rotational Motion

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\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig => @^]/T`yskes

MC]A ? KK]OAA ?HCZBU ?

34 ]KHA ? :1 HKGQ]AU

GCHA ? ]AU] EIMA ? Z]H R3X

ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?

U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?

]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.

Ace` quastkig ecrrkas 3 hcrb. ]àra ks GI GANC]K\A hcrbkgn.

Eìisa tà eirraet cftargctkva. Igfy iga eìkea ks eirraet.

3. C]s`cpam ijoaet wkt` mkhagskigs sìwg kg tà lknura, ks fykgn ig c shiit` lfiir.

ClireaL ks cppfkam ct c pikgtTTcrcffaf tiCJ, sue` t`ct tà ijoaet `cs igfy tà

trcgsfctkigcf hitkig wktìut ritctkig. Lkgm tà mkstcgea ilTlrih tiE.

(C):

:f (J)

5

:f

(E)=

5f (M) f

:. C ekreufcr mkse il rcmkusZks rahivam lirh c jknnar ekreufcr mkse il rcmkus :Z, sue` t`ct tà ekreuhlaragea il tà mkses eikgekma.

]à mkstcgea il eagtra il hcss il tà gaw mkse ks Z lrih tà eagtra il tà jknnar mkse. ]à vcfua il ks ?

(C) 3/5 (J) 3/: (E) 3/< (M) 3/=

5. ^àg c eakfkgn lcg ks swkteàm ill, kts cgnufcr vafiekty lcffs ti `cfl w`kfa kt hcbas 5< ritctkigs. @iw hcgy ritctkigs wkff kt hcba

jalira eihkgn ti rast 9 Cssuha eigstcgt raskstkva tirqua

(C) := (J) 5< (E) 30 (M) 3:

=. ]à rctki il tà rcmkk il nyrctkig il c ekreufcr mkse cjiut c tcgnagtkcf cxks kg tà pfcga il tà mkse cgm il c ekreufcr rkgn il tà scha

rcmkus cjiut c tcgnagtkcf cxks kg t a pfcga il tà rkgn ks ?

(C) 5 1 (J) 3: 5 (E) 3 5 (M) 1 1Gh (M) 5;Gh

0. C mkse il hihagt il kgartkc:

1bn h ks cetam upig jy c eigstcgt tirqua il =4 Gh. Utcrtkgn lrih rast tà tkha tcbag jy kt ti

cequkra cg cgnufcr vafiekty il := 3rcms ks ?

(C) 5s (J) =s (E) :.1s (M) 3:4s


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;. C sifkm spàra il hcss :bnriffs ig c shiit` ìrkzigtcf surlcea ct334hs

. Kt tàg riffs up c shiit` kgefkgam pfcga il kgefkgctkig

54 wkt` tà ìrkzigtcf. ]à àkn`t cttckgam jy spàra jalira kt stips ks?

(C) >44eh (J) >43eh (E) >.3h (M) Giga il tàsa

34. ]à ceeafarctkig il tà eagtra il hcss il c ugklirh sifkm mkse riffkgn miwg cg kgefkgam pfcga il cgnfa ks?

(C) n skg (J) : 5/ n skg (E) 3 :/ n skg (M) 3 5/ n skg


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GCHA ? ]AU] EIMA ? Z]H R:X






3. ]à eagtra il hcss il t`raa pcrtkefas il hcssas 3 bn, :bncgm 5bnks ct (5, 5, 5) wkt` ralaragea ti c lkxam eiirmkgcta systah. ^àra

c liurt` pcrtkefa il hcss =bnsìufm ja pfceam, si t`ct tà eagtra il hcss il tà systah il cff pcrtkefas s`klts ti c pikgt (3, 3, 3) 9

(C) ( 3 3 3) (J) ( : : :) (E) (:, :, :) (M) (3, 3, 3)

:. ]wi jimkas il : 0k o b (E) > : 0k o b (M) 1 : 0k o b

5. ]à cgnufcr vafiekty il c wàaf kgeracsas lrih 344rpsti 544rpskg 34s. ]à guhjar il ravifutkigs hcma murkgn t`ct tkha ks?

(C) (E) :/1 (M) >/:

34. C sifkm eyfkgmar ks riffkgn miwg ig cg kgefkgam pfcga il cgnfa . ]à eiallkekagt il stctke lrcetkig jatwaag tà pfcga cgm eyfkgmar

ks s . ]àg eigmktkig lir tà eyfkgmar git ti sfkp ks ?

(C) 5 stcg (J) 5 stcg (E) 5 stcg (M) 5 stcg


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3. C puffay lkxam ti tà eakfkgn ecrrkas c strkgn wkt` jfiebs

il hcssash cgm 5h cttceàm ti kts agms. ]à hcssas il

strkgn cgm puffay cra ganfknkjfa. ^àg tà systah ks

rafacsam, tà ceeafarctkig il eagtra il hcss wkff ja?

(C) zari (J)

=

n

(E):

n(M)

:

n

:. Eigskmar c twi pcrtkefa systah wkt` pcrtkefas `cvkgn

hcssas h3 cgm h:. Kl tà lkrst pcrtkefas ks pus am

tiwcrms tà eagtra il hcss t`riun` c mkstcgea m, jy

w`ct mkstcgea sìufm tà saeigm pcrtkefa ja hivam, si

cs ti baap tà eagtra il hcss ct tà scha pisktkig9

(C) :

3

hm

h(J) 3

3 :

hm

h h

(E) 3

:

hm

h(M) m

5. ]à kgstcgtcgaius vafiekty il c pikgtJil tà nkvag rim

il fagnt` 4.1h ks 5hs3 kg tà raprasagtam mkraetkig.

]à cgnufcr vafiekty il tà rim lir hkgkhuh vafiekty il

agmCks?

(C) 3.1rcms3 (J) 1.:rcms3

(E) :.1rcms3 (M) Giga il tàsa

=. Lrih c mkse il rcmkusZ, c eigeagtrke ekreufcr pirtkig il

rcmkusrks eut iut si cs ti facva cg cggufcr mkse il hcss

H. ]à hihagt il kgartkc il t`ks cggufcr mkse cjiut tà

cxks parpagmkeufcr ti kts pfcga cgm pcsskgn t`riun` kts

eagtra il nrcvkty ks?

(C) : :3:H Z r (J) : :3

:H Z r

(E) = =3:H Z r (M) = =3

:H Z r

1. C]oikgt ks lirham jy twi kmagtkecf rims Ccgm Jace`

il hcssh cgm fagnt`F kg tàP[ pfcga cs sìwg. Kts

hihagt il kgartkc cjiut cxks eikgekmkgn wkt`Cks?

(C)

::

5

hF

(J)

:

3:

hF

(E)

:

h

(E) =h

(M) 3h

5. ]à hihagt il kgartkc il c t`kg ugklirh rim il fagnt`Fcgm hcssHcjiut cg cxks pcsskgn t`riun` c pikgt ct c mkstcgea il 3/5 lrih

iga il kts agms cgm parpagmkeufcr ti tà rim ks?

(C)

:

3:

HF(J)

:

;

HF(E)

:>

=0

HF(M)

:

=0

HF

=. ]`raa kmagtkecf rims, ace` il fagnt` x, cra oikgam ti lirh c rknkm aqukfctarcf trkcgnfa. Kts rcmkus il nyrctkig cjiut cg cxks pcsskgn

t`riun` c eirgar cgm parpagmkeufcr ti tà trkcgnfa ks?

(C)5

x(J)

:

x(E)

5

:x (M)

:

x

1. C ugklirh mkse il hcssHcgm rcmkusZks hiugtam ig c lkxam ìrkzigtcf cxks. C jfieb il hcss h `cgns lrih c hcssfass strkgn t`ct

ks wrcppam criugm tà rkh il tà mkse. ]à hcngktuma il tà ceeafarctkig il tà lcffkgn jfieb (h) ks?

(C):

:

Hn

H h (J)

:

:

hn

H H (E)

:

:

H hn

H

(M)

:

:

H hn

H

. C pcrtkefa il hcss h 8 1 ugkts ks hivkgn wkt` c ugklirh spaam 5 :v h kg tà PI[ pfcga cfign tà fkga [ 8 P + =.

]à hcngktuma il tà cgnufcr hihagtuh cjiut irknkg ks?

(C) zari (J) .1 ugkt

(M) =4 : ugkt (A) 5.4 ugkt


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0. C jimy ks ritctkgn wkt` cgnufcr vafiekty 54rcms3. Kl kts bkgatke agarny ks 5


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3. Utctahagt ? K Kl tàra ks gi axtargcf tirqua ig c jimy cjiut kts eagtra il hcss, tàg tà vafiekty il tà eagtra il hcss

rahckgs eigstcgt.

Utctahagt ? KK ]à fkgacr hihagtuh il cg ksifctam systah rahckgs eigstcgt.

(C) Utctahagt-K ks ]rua, Utctahagt-KK ks ]rua cgm Utctahagt-KK ks c eirraet axpfcgctkig lir Utctahagt-K

(J) Utctahagt-K ks ]rua, Utctahagt-KK ks ]rua cgm Utctahagt-KK ks GI] c eirraet axpfcgctkig lir Utctahagt-K

(E) Utctahagt-K ks ]rua, Utctahagt-KK ks Lcfsa

(M) Utctahagt-K ks Lcfsa, Utctahagt-KK ks ]rua

:. ]wi pcrtkefas il aqucf hcss `cva vafiektkas 3 =v k cgm

3: =v o hs

. Lkrst pcrtkefa `cs cg ceeafarctkig :3 (1 1 )c k o hs ,

w`kfa tà ceeafarctkig il tà itàr pcrtkefa ks zari. ]à eagtra il hcss il tà twi pcrtkefas hivas kg c pct` il

(C) strckn`t fkga (J) pcrcjifc (E) ekrefa (M) affkpsa

5. Hihagt il kgartkc il c mkse cjiut c mkchatar ksK. Lkgm tà hihagt il kgartkc il mkse cjiut cg cxks parpagmkeufcr ti kts pfcga cgm

pcsskgn t`riun` kts rkh9

(C)


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0. ]à hihagts il kgartkc il twi lraafy ritctkgn jimkasCcgmJcraKC7KJ cgm tàkr cgnufcr hihagtc cra aqucf. KlBCcgmBJcra

tàkr bkgatke agarnkas, tàg?

(C) BC8BJ (J) BCBC (E) BC6BJ (M) BC8 :BJ

;. C sifkm spàra il hcss 3bn, rcmkus 34ehriffs miwg cg kgefkgam pfcga il àkn`t >h. ]à vafiekty il kts eagtra cs kt raceàs tà

nriugm favaf ks?(C) >h/s (J) 34h/s (E) 31h/s (M) :4h/s

34. C mkse ks riffkgn (wktìut sfkppkgn) ig c ìrkzigtcf surlceaEks kts eagtra cgmS cgmTcra

twi pikgts aqukmkstcgt lrihE. Fat vT,vScgmvE ja tà hcngktuma il vafiektkas il pikgts

T,ScgmEraspaetkvafy, tàg ?

(C) vS6vE7vT (J) vS6vE6vT

(E)3

:S T E pv v v v (M) S E Tv v v


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GCHA ? ]AU] EIMA ? Z]H R;X






3. ]wi pcrtkefas il aqucf hcss h ni criugm c ekrefa il

rcmkus Z ugmar tà cetkig il tàkr hutucf nrcvktctkigcf

cttrcetkig. ]à spaam il ace` pcrtkefa wkt` raspaet ti

tàkr eagtra il hcss ks?

(C) Nh

Z

(J)

=

Nh

Z

(E)5

NH

Z(M)

:

Nh

Z

:. ]wi jcffs, ace` il rcmkus Z, aqucf hcss cgm magskty cra

pfceam kg eigtcet, tàg tà lirea il nrcvktctkig jatwaag

tàh ks pripirtkigcf ti?

(C):

3L

Z (J) L Z

(E)=

L Z (M)3

LZ

5. Khcnkga c gaw pfcgat `cvkgn tà scha magskty cs t`ct il

acrt` jut kt ks 5 tkhas jknnar t`cg tà acrt` kg skza. Kl tà

ceeafarctkig mua ti nrcvkty ig tà surlcea il tà acrt` kg

skza ks n cgm t`ct ig tà surlcea il tà gaw pfcgat ks n ,

tàg?

(C) :n n (J) 5n n

(E) =n n (M) 1n n

=. Kl tà acrt` stips ritctkgn, tà vcfua il n ct tà aquctir

(C) kgeracsas (J) maeracsas

(E) gi allaet (M) Giga il tàsa

1. ]à e`cgna kg tà vcfua il n ct c àkn`t ` cjiva tà

surlcea il tà acrt` ks tà scha cs ct c mapt` mjafiw tà

surlcea il acrt`. ^àg jit` m cgm`cra hue` shcffar

t`cg tà rcmkus il acrt`, tàg w`ke` iga il tà liffiwkgn

ks eirraet9

(C):

`m (J)

5

:

`m

(E) :m ` (M) m `

NH

Z

(J) : = : 1>

NH

Z

(E)

=

NH

Z

(M) : : 31

NH

Z

>. C pfcgat kg c mkstcgt sifcr systah ks 34 tkhas hira

hcsskva t`cg tà acrt` cgm kts rcmkus ks 34 tkhas shcffar.

Nkvag t`ct tà asecpa vafiekty lrih tà acrt` ks

333bhs , tà asecpa vafiekty lrih tà surlcea il tà

pfcgat wiufm ja?

(C)3

3 3. bhs

(J)3

33bhs

(E)3

334bhs

(M)3

4 33. bhs

0. ]à asecpa vafiekty il c prioaetkfa ig tà acrt`s surlcea

ks 33.:3

bhs . C jimy ks prioaetam iut wkt` t`rkea t`ks

spaam. ]à spaam il tà jimy lcr cwcy lrih tà acrt`

wkff ja?

(C)3

:: =. bhs

(J)3

53 >. bhs

(E)3

55


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3. ]`raa kmagtkecf jimkas il hcss Hcra fiectam ct tà vartkeas il cg aqukfctarcf trkcgnfa il skmaF. ]ày ravifva ugmar tà allaet il

hutucf nrcvktctkigcf lirea kg c ekreufcr irjkt, ekreuhserkjkgn tà trkcgnfa w`kfa prasarvkgn tà aqukfctarcf trkcgnfa. ]àkr irjktcf

vafiekty ks?

(C) NH

F(J)

5

:

NH

F(E)

5NH

F(M)

:

5

NH

F (A)

5

NH

F

:. C jimy ks tcbag ti c àkn`t ilgZ lrih tà surlcea il tà acrt`. ]à rctki il tà ceeafarctkig mua ti nrcvkty ig tà surlcea ti t`ct cttà cftktuma ks?

(C) (g+ 3):

(J) (g+ 3):

(E) (g+ 3)3

(M) (g+ 3)

5. ]à àkn`t ct w`ke` tà ceeafarctkig mua ti nrcvkty jaeihas n/ ; (wàran8 tà ceeafarctkig mua ti nrcvkty ig tà surlcea il tà

acrt`) kg tarhs ilZ, tà rcmkus il tà acrt`, ks?

(C) :Z (J)5

Z(E)

:

Z(M) :Z

=. ]à ceeafarctkig mua ti nrcvkty jaeihas:

n

(n8 ceeafarctkig mua ti nrcvkty ig tà surlcea il tà acrt`) ct c àkn`t aqucf ti?

(C) =Z (J) Z/ = (E) :Z (M) Z/ :

1. ]wi jimkas il hcssashcgm =hcra pfceam ct c mkstcgear. ]à nrcvktctkigcf pitagtkcf ct c pikgt ig tà fkga oikgkgn tàh wàra tà

nrcvktctkigcf lkafm ks zari ks?

(C)=Nh

r (J)

Jee-2014-Booklet3-Hwt-system of Particles & Rotational Motion

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