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constant (d) mass of the Earth, time period of the satellite and the gravitational constant. 30. 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Every right answer having (+3) marks and every wrong answer having (-1) mark. 2. Try these questions for one week and for answers, give your request on feed back page (in this site). 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B#f3Ааr B#c3Ааr B#CАаjB#cјчB#cча™B#CчЪ`B#cАB#b3Ааr B#a3Ааr B#CАаљB#BЄ?т~B#cАB#cАаvB#cАЪ*B#cАу ПB#CАV[B#c№ џB#h# аr B#h#№ аr B# C№ а B#B4 B#C ^B#cdˆB# cˆаГB#cˆЪSB#cˆу ЩB#CˆV>B#c№ џB#a3 аr B#j#№ аr B#S№ аВB#BєуŽ'B#c№ B#c аяB#c ЪєB#c у ъB#C VљB#c№ џB#j# аr B#C№ аЖB#B(LчuB#c№ B# c анB# c ЪтB# c у sB# C VB#c№ џB#g# аr B#j3№ аr B# C№ аB#BьЪX’B#cWB#cWаѓB#CWу љB#c№ B#s а”B#S у jB#c№ џB#f3 аr B#S№ аpB#BЬmЅ јB#c№ B#c аАB#c ЪB#C у сB#c№ B#c аМB#C у ћB#Bedrock-Light Extreme Lefty"џџBedrock"џџBeehiveџџшBeesWaxџџшBeffleџџшBennieGoetheSHc№ џB#j3 аr B#i#№ аr B#=C№ аSB#B№ЫDЛB#c№ B#c аB#c ЪB#c у B# C VщB#c№ џB#f# аr B#j#№ аr B#C№ а\B#cМРB#cРаQB#CРу ЫB#c№ B# c аїB#c ЪB# C у 'B#c№ џB#i3 аr B#n#№ аr B## B#d3№ аr B# c№ а„B#c ЪB# C у NB#c№ B#c аYB# c Ъ;B#џџшBell MTџџBell Bottom Extreme Lefty"џџBellBottom.LaserџџшBellBottom ClearџџшBellBottom WideџџшBellBottom Laser ThinџџшBellevueџџBenguiat-Bold Lefty"џџBenguiat-LightџџшBenguiat Bk BTџџBenguiat-BoldџџшBenjaminCapsџџшBergell LETџџBernhardFashion BTRџџBernard MT CondensedџџBernhardMod BTџџBerthold Script"џџBeauTerrySHџџшBankGothic Lt BT"џџBizarroџџшBIGCITY-Normal Extreme Lefty"џџBIGCITY-Normal ItalicџџшBIGCITY-NormalџџшBIGCITY-Normal WideџџшBIGCITY-Normal ExtendedџџшBIGCSHAD-Normal WideџџшBIGCSHAD-Normal Extended c у CB#C VЌB#c№ џB#]C аКB#Bb]К ЯB#c№ B#c аžB#C у ЃB#c№ B#c а™B#C у tB#c№ џB#f# аr B#k#№ аr B#C№ а™B#BJЎB#c№ B#c аtB#C у ZB#c№ B#c аГB#C у &B#c№ џB#l# §E B#h3№ аr B#!c№ аа B# C ™B#c№ B# c §ТB# c C,B#c +B# C А B#‚Њ„§џџџ†‡ˆ‰Š‹Ž‘”’“–›•К—˜™šœЃžŸ ЁЂfЅІЇЈчЎЋЌ­АЏБкВГДЕЖЗИЙКЛМНЩПРСТУФХЦЧШЪЫаЬЭЮЯв§џџџфдежзийлмнопрстухцяшщъыьэю?№ёђѓОі§џџџїјљњћќџџџџџџџџџџџџџџшBIGCSHAD-NormalџџшBibiGodivaSHџџшBIGCSHAD-Lefty"џџBikly Bold Extreme Lefty Font"џџBiklyBoldFont ExtendedџџшBiklyBoldFon cube of the radius of orbit of a geostationary satellite will be (a)  (b)  (c)  (d)  )E€+џџ))E,џџ)Document Master€№№з`њ_юЁ_юНфЁC_юНфЁCDocument Master€Еˆэt џ№№з`њ_юЁ_юНфЁC_юНфЁCџџ)@@@€@@@ @€ Р€ 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A thin circular ring of mass M is rotating about its axis with a constant angular velocity w. Two objects, each of mass m, are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity. (a)  (b)  (c)  (d)  2. When a mass is rotated in a plane about a fixed point, its angular momentum is directed along (a) the radius (b) the tangent to the orbit (c) a lines at an angle of 45К to the plane of rotation (d) the axis of rotation 3. The radius of a wheel is iR and its radius of gyration about an axis passing through its centre and perpendicular to its plane is k. If the wheel is rolling without slipping, the ratio of its rotational kinetic to its translational kinetic energy is (a) k2 / R2 (baps CapsџџшCartaџџCartoon HollowџџшCartoon-NormalџџшCartoon Hollow BoldџџшCartWrightџџшCaslon Antique ItalicџџCaslon AntiqueџџCaslon Antique Lefty"џџCascade-Light BoldџџшCascade-Light ExџџшCascade-LightџџшCaslon-Light BoldџџшCaslon-Light WdџџшCaslon-Light ExџџшCaslon-LightџџшCaslonOpenFaceџџшCasperOpenFaceџџшCameronStendahlSHџџшCastellarџџDawnCastleџџшCassTaylorSHџџшCarlTellerSHџџшCavemann BoldџџшCavemann WdџџшCavemann Ex BoldџџшCavemann HoџџшCavemannSend To Microsoft OneNote Port:  @@№xџџџџМGMMdџџџџ(xK–dћџаdџџdџџ№№№№Contents^tIndex ,^>;^>^=.^> , C:\Program Files\Adobe\PageMaker 7.0\RSRC\USENGLSHxAааddш_юНфЁC_юНфЁC№№№№№№ dшяш№bј ЄПшп№ ..--__ќџќџџГџџ џџџџџџџџb”ф~,ў№№з`њ_юЁџџџџрiJ7џџџџџџџџџџ!>RџџџџCkJ7џџџџџџџџџџ!?Sџџџџ%lJ7џџџџџџџџџџ!@Tџџџџ(lJ7џџџџџџџџџџ!AUџџџџЁrJ7џџџџџџџџџџ!BVџџџџ)sJ7џџџџџџџџџџ!CWџџџџЬЃb7џџџџџџџџџџ!DXџџџџрЃb7џџџџџџџџџџ!EYџџџџ#Єb7џџџџџџџџџџ!FZџџџџ'Єb7џџџџџџџџџџ!G[џџџџlЇb7џџџџџџџџџџ!H\џџџџЈb7џџџџџџџџџџ!I]џџџџЈb7џџџџџџџџџџ!J^џџџџЈb7џџџџџџџџџџ!K_џџ.@ џџ.1@џџ1џџ/Юџџ/џџ@џџ€=џџ_џџ )мџџ Рџџ п€=џџ ъџџ Jџџ )E@џџ)7џџ)EРџџ))E@џџ))EРџџ))E@џџ))EРџџ)Рџџ Bџџ цРЬџџ €Fџџ Lџџ @Cџџ )@@ џџ)€@џџ)E€ џџ))E џџ))E€ џџ))E џџ))E€+џџ))E,џџ))E€,џџ))E-џџ))E€-џџ))E.џџ))E€.џџ))@€ џџ))@/џџ))E@/џџ))EР/џџ))@@0џџ))@€0џџ))@Р0џџ))E1џџ))E€1џџ))@2џџ))@@2џџ))E€2џџ))E3џџ))@€3џџ))@Р3џџ))E€9џџ))E:џџ))E€:џџ))E;џџ))E€;џџ))E<џџ))E€<џџ))E=џџ)@5џџбџџџџ Р6џџ @ џџ @9џџ kџџ Р?џџ ММMMddџџџџММMMddџџџџММMMdџџџџМюMMddџџџџМюMMd1. 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ItalicџџшDiego1-LightџџшDiego1 WdџџшDizzyFeiningerSHџџшDigit CubeџџшDigitџџшITC Zapf DingbatsџџDixon Extreme Lefty"џџDixonџџшDixon BoldџџшDixon ItalicџџшDixon Cn BoldџџшDixon ExџџшDixon Wd ItalicџџшDixon WdџџшDobkin BoldџџшDobkin Ex BoldџџшDobkin WdџџшDobkin Bold Lefty"џџDom Casual-Extreme Lefty"џџDomCasual-ThinџџшDomCasual WdџџшDomCasual ExџџшDomCasual-BoldџџшDomCasual-Bold ItalicџџшDomCasual-Bold WdџџшDomCasual ItalicџџшDomCasualџџшDomino-Effect-NormalџџшDonaldџџшDobkinџџxDocTermanџџLDown Wind Lefty"џџDownWind CnџџшDownWind BoldџџшDownWindџџшDragonwick Lefty"џџDragonwick CnџџшDragonwick WdџџшDubielџџшDubiel (Plain)ThinџџшDubiel ( Plain) Thin Lefty"џџDupuyHeavyџџЊDupuyLightџџЊDupuy BoldџџшDupuy ItalicџџшDupuy CnџџшDupuy ExџџшDupuy Wd BIџџшDupuyHeavy WdџџшDupuyHeavy ExџџшDupuyHeavy HollowџџшDupuyHeavy ThџџшDupuyџџЊDutch801 Rm BTџџDutch801 XBd BTџџDV-TTGaneshRџџшDV-KURTISџџшDVONIL-BOLDџџшDVONIL-LIGHTџџшDV-TTSurekhRџџшEnglish111 Vivace BTBџџEast Side Bold"џџEast Side Italic"џџEastSide WdџџшEastSide ExџџшEckmann Cn Lefty"џџEckmann ItalicџџшEckmann WdџџшEckmann ExџџшEckmann CnџџшEckmannџџшEddaCapsџџшEddaCaps CnџџшEddaCaps Wd BoldџџшEddaCaps ExџџшEdda Caps Lefty"џџEdithDaySHџџшEglantineџџшEight TrackџџшEireџџшEire Cn BIџџшEire ExџџшEire HoџџшEire ThџџшEire WdџџшEire Hollow Lefty"џџEire Extreme Lefty"џџEklektic-NormalџџшEklektic-Normal ThџџшEklektic-Normal Cn ITџџшEklektic-Normal ExџџшEklektic-Normal ItalicџџшEklektic-Normal-LightџџшElectrik CnџџшElectrik WdџџшElectrik ExџџшElectrik HollowџџшElectrik ItalicџџшElephantџџшElGar BoldџџшElGar CnџџшElGar Ex BoldџџшElGar WdџџшElizabeth CnџџшElizabeth WdџџшElizabeth Ex ItalicџџшElizabethџџшElizabeth Extreme Lefty"џџElectrik"џџElwood Lefty"џџElwood ItalicџџшElwoodџџшElwood Cn ItalicџџшElwood ExџџшElwood ThџџшElwood WdџџшElzevier-CapsџџEmGravesSHџџшEngelEinsteinSHџџшEngravers MTџџEngraverџџEngraver-Light CnџџшEngraver-Light Ex BIџџшEngraver-Light ItalicџџшEngraver-LightџџшEnyaџџшEnviro Caps 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CnџџшEurostileExtended-Roman-DTCџџшEurostileObl-BoldџџшEurostileObl-NormalџџшEurostile-BoldџџшEurostile-Black ItalicџџшEuroRomanџџшEurostile-RomanџџшExotic-Demi Lefty"џџExxPresleySHџџшFaktos-Mirror"џџFaktosas-Slanted"џџFaktos-LeftyCasual"џџFaktosSummaryInformation(џџџџџџџџџџџџйOle џџџџџџџџџџџџCompObj‘“џџџџdCorelDRAWџџџџџџџџџџџџЗ.џџшFaktos HollowџџшFaktos WideџџшFarquharsonFreeџџшFaustus BoldџџшFaustusџџшOlePres000’–џџџџь DRAWBITMAPSџџџџџџџџ!@p.ZWЪ@p.ZWЪSTREAMSLIST•—џџџџыDRAWPATTERNSџџџџ˜ @p.ZWЪ@p.ZWЪFaustus WideџџшFelix TitlingRџџFencesџџшFetteFrakturџџFetteFraktur-SemiBoldџџшFetteFraktur-SemiBold WdџџшFette Fraktur-Semi Bold Lefty"џџFillmoreџџшFlange-LightџџшFlemish-Normal WdџџшFlemish-NormalџџшFlemish-Normal-ItalicџџшFlemish-Normal ExџџшFlemish-Normal Lefty"џџFlemishScript BTBџџFletcher-GothicџџшFleurFordSHџџшFlick Bold Hollow Lefty"џџFlick Bold HollowџџшFloraџџFlora-Bold ExџџшFlora-Bold HollowџџшFlora-Bold WdџџшFlora-BoldџџшFlora-NormalџџшFlorence-Light ExџџшFlorence-Light WdџџшFlorence-LightџџшFlora-Normal Lefty"џџFlyer-BlackCondensedџџшFlyer-ExtraBlackCondensedџџшFlyer-Black Condensed Lefty"џџFrame Font"џџFrankfurt Lefty"џџFormalist Script Regular Lefty "џџFormalScript-Regular HoџџшFormalistScript-RegularџџшFormal ScriptџџшџџшFormalistScriptWideџџшForteBџџFox Script Lefty"џџFoxScriptџџшFoxTrotMediumџџшFoxxy Trot to the Left"џџFranklin Gothic Book"џџFranklin Gothic Demi"џџFranklin Gothic Demi Cond"џџFranklin Gothic Heavy"џџFranklin Gothic Medium Cond"џџFrank Lazy"џџFrankFont ExtendedџџшFrankFont WideџџшFrankFontџџшFrankfurt"џџFrankfurt WideџџшFrankfurt ExtendedџџшFrankfurt CnџџшFrankenFont Large HollowџџшFrankenFont HollowџџшFranklinGothic BIџџшFranklinGothic-CondensedџџшFranklinGothic-Heavy-SemiBolџџшFreeportџџшFreestyle ScriptBџџFredFlahertySHџџшFritz Quadrata Lefty"џџFritzQuadrata ItalicџџшFritzQuadrata BIџџшFritzQuadrataџџшFrizQuadrata-ThinџџшFrizQuadrata-BoldџџшFrank Font Lefty"џџFranklin Gothic-Heavy-Lefty"џџFrankensteinџџшFrench Script MTBџџFujiyama2џџшFujiyamaџџшFujiyamaExtraBoldџџшFujiyamaLightџџшFund Runk Lefty"џџFundRunkџџшFundRunOџџшFuturi-Black-Leftified at Night"џџFusion-Bold Lefty"џџFusion-BoldџџшFusion-NormalџџшFutura Md BT"џџFutura Lt BT"џџFuturaBlack BTRџџFutura XBlk BT"џџClѓ Gaelach (Twomey)"џџGabbyGauguinSHџџшGALLEDIS CnџџшGALLEDIS WdџџшGALLEDISџџшGarryMondrianSwashSHџџшGANESH SYMBOLSџџшGaramond Lefty"‚џџџџˆџџџџџџџџџџџџџџџџџџџџ‰Š‹ŒŽыџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџьэюя№ёђџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџGaramondџџGarton Leftified Regular"џџGarton Regular Wd BoldџџшGarton Regular ExџџшGarton Regular BoldџџшGarton RegularџџшGasџџшGood City Lefty Not Plain"џџGDTџџGeorgeMelvilleSHџџшGenoaItalic-WdџџGenoaItalicџџшGenoaItalic Ex BoldџџшGenoaItalic WdџџшGenoaRomanџџшGenoa Lefty Roman Regular"џџGeographicSymbolsџџшGeoPlain Wd BoldџџшGeoPlain ExџџшGeoPlain HollowџџшGeoPlain ItalicџџшGeoPlain§џџџ      !"#-%&'()*+9.2/0134;5678:EM<=>?@ABCDKFGHIJNLOjPVQRSTUWXYZ\[]^b_`afcdehgivklmnopqrstuwxyz{|}~€џџшGeo Plain Lefty"џџGeotype TTRџџGigiRџџџџшGill Sans MT"џџGill Sans MT Condensed"џџGillSans-BoldџџшGillSans WdџџшGillSans-Bold WdџџшGillSans-ItalicџџшGillSans-BoldItalicџџшGillSans-BoldItalic WdџџшGillSans-BoldItalic ExџџшGillSans CnџџшGill Sans Ultra Bold Condensed"џџGill Sans Ultra Bold"џџGillSansџџшGJ-TTAvantikaRџџшGJ-KURTISџџшGJONIL-BOLDџџшGJONIL-LIGHTџџшGloucester MT Extra CondensedџџGill Sans MT Ext Condensed Bold"џџGill Sans Leftified"џџGoodfellowџџАGoodCityModern PlainџџшGoodAdviceџџшGoodCityModern Plain ExџџшGoodCity Plain HollowџџшGoodCityModern Plain WdџџшGothicEџџGothicGџџGothicIџџGoudy Old StyleџџGoudyOlSt BTџџGoudy-Normal-ItalicџџшGoudyџџшGoudy StoutџџGoundyHundred-BџџшGoundyHundredџџшGradlBџџGraphik"џџGrange-LightџџшGrantyoeџџшGraphicџџшGraphicLightџџшGraceAdonisSHџџшGreek Diner Inline TT"џџGreekCџџGreekSџџGR-KURTISRџџшGRONIL-BOLDџџшGRONIL-LIGHTџџшHairpin-Pushed to The Left"џџHairpin-Normal iTALICџџшHairpin-Normal WdџџшHairpin-Normal ExџџшHairpin-Normal HollowџџшHairpin-Normal BoldџџшHairpin-NormalџџшHankKhrushchevSHџџшHancock ExџџшHancock WdџџшHandel GothicџџшHandel Gothic CnџџшHandel Gothic WdџџшHandel Gothic ExџџшHandel Gothic HollowџџшHandel Gothic ItalicџџшHardnose џџшHargus-NormalџџшHarlow Solid ItalicRџџHarringtonRџџHarpoon"џџHarquil Lefty"џџHarquilџџшHarquil ExџџшHarquil HollowџџшHarrington ItalicџџшHarrington CnџџшHarrington WdџџшHeatherџџшHeaveneticaBoxedџџшHelena BoldџџшHelium SFџџшHelenaџџшHelvetica"џџHelvetica Narrow"џџHenryPatrickSHџџшџџшHeraldџџ~KundliџџшHiroshige ATTџџQTHelvetCndџџшHobo"џџHolyMolyџџшHigh Tower TextџџHumanst521 BT"џџHumanst531 UBlk BT"џџHumnst777 Lt 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MathTypeањџџшLEHN148џџшLEHN149џџшLEHN150џџшLEHN151џџшLEHN152џџшLEHN153џџшLEHN154џџшLEHN155џџшLEHN156џџшLEHN157џџшLEHN158џџшLEHN159џџшLEHN160џџшLEHN161џџшLEHN162џџшLEHN163џџшLEHN164џџшLEHN165џџшLEHN166џџшLEHN167џџшGџџшLEHN169џџшLEHN170џџшLEHN171џџшLEHN172џџшLEHN173џџшLEHN174џџшLEHN175џџшLEHN176џџшLEHN177џџшLEHN178џџшLEHN179џџшLEHN180џџшLEHN181џџшLEHN182џџшLEHN183џџшLEHN184џџшLEHN280џџшџџLEHN186џџшLEHN187џџшLEHN188џџшLEHN282џџшLEHN283-4@45ћ`ўSymbol„ дјŸИЄѓwСЄѓw 0ѕwmfG- 2 —?wyћ`ўTimesl ?дјŸИЄѓwСЄѓw 0ѕwmfG-№ 2 —y(y‹ћ`ўTimes„ дјŸИЄѓwСЄѓw 0ѕwmfG-№ 2 —%My[ 2 —ѓmy+ 2 рFMy[ 2 рmy+ћ`ўSymboll @дјŸИЄѓwСЄѓw 0ѕwmfG-№ 2 —т-yф 2 р+yфћ`ўTimes„ дјŸИЄѓwСЄѓw 0ѕwmfG-№ 2 —2yа 2 р62yа+&LMathTypeUU@ „w‚(ƒM†-ˆ2ƒmƒM†+ˆ2ƒm & џџџџћМ"SystemGmfG !Š`љŸ-№NANIўџ џџџџB;РFCorelEquationCorelEquationCorelEquationє9ВqAll@ „wƒMƒM†+ˆ2ƒmџџџџџџџџVЏђ y+ џџџ .  @Р&џџџџРџЎџ€ю & MathTypeањ-4@4{ћ`ўSymbol„ ШдјŸИЄѓwСЄѓw 0ѕwSf1- 2 —‘wyћ`ўTimesš #дјŸИЄѓwСЄѓw 0ѕwSf1-№ 2 —ЇMy[ 2 рiMy[ 2 р9my+ћ`ўSymbol„ ЩдјŸИЄѓwСЄѓw 0ѕwSf1-№ 2 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A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speeds 2v and v, respectively, strike the bar as shown in the fig. and stick to it after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity of w, E and Vc respectively, we have after collision  (a) Vc = 0 (b) w = 3v/5a (c) w = v/5a (d) E = 3mv2/5 5. A thin, uniform, circular disc is rolling down an inclined plane of inclination 30К without slipping. Its linear acceleration along the plane is (a) g/4 (b) g/3 (c) g/2 (d) 2g/3 6. A mass slides down an inclined plane and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down this plane, its linear velocity at the bottom would be (a) v (b) v / ж2 (c) ж2 v (d) 2v 7. A solid sphere of mass 2 kg rolls down an inclined plane from a height of 4 m. Its rotational kinetic energy when it reaches the foot of the plane is (g = 10 m/s2) (a) 20 J (b) 40 J (c) 80/3 J (d) 80 J 8. A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about its axis which is horizontal. A string is wound round the cylinder with one end attached to it and the other hanging freely. The tension in the string required to produce an angular acceleration of 2 rev/s2 in the cylinder is (a) 78.5 N (b) 157 N (c) 314 N (d) 628 N 9. A balance is made of a rigid rod free to rotate about a point not at the centre of the rod. When an unknown mass m is placed in the left-hand pan, it is balanced by a mass m1 placed in the right-hand pan, and similarly when the mass m is placed in the right-hand pan, it is balanced by a mass m2 in the left-hand pan. Neglecting the masses of the pans, m is (a)  (b)  (c)  (d)  10. Four spheres, each of mass M and diameter 2r, are placed with their centres on the four corners of a square of side a (> 2r). The moment of inertia of the system about one side of the square is (a)  (b)  (c)  (d)  11. A pan containing a layer of uniform thickness of ice is placed on a circular turntable with its centre coinciding with the centre of the turnable. The turnable is now rotated at a constant angular velocity about a vertical axis passing through its centre and the driving torque is withdrawn. There is not friction between the table and the pivot. The pan rotates with the table. As the ice melts (a) the angular velocity of the system decreases (b) the angular velocity of the system increases (c) the angular velocity of the system remains unchanged (d) the moment of inertia of the system increases 12. A particle of mass 5 grams is moving with a uniform speed of 3ж2 cm/s in the xy plane along the line y = x + 4. The magnitude of its angular momentum about the origin in g cm2/s is (a) zero (b) 30 (c) 30ж2 (d) 60 13. Two circular rings have masses in the ratio 1 : 2 and diameters in the ratio 2 : 1. The ratio of their moments of inertia is (a) 1 : 4 (b) 2 : 1 (c) 4 : 1 (d) ж2 : 1 14. A cord of wound round the circumference of a wheel of radius r. The axis of the wheel is horizontal and its moment of inertia about this axis is I. A weight mg is attached to the end of the cord and is allowed to fall form rest. The angular velocity of the wheel, when the weight has fallen through a distance h, is (a)  (b) (c) (d) 2(gh)1/2 15. O is the centroid of an equilateral triangle ABC. F1, F2 and F3 are three forces acting along the sides AB, BC and AC as shown in fig. below. What should be the magnitude of F3 so that the total torque about O is zero?  (a) (F1 + F2) / 2 (b) (F1 - F2) (c) 2(F1 + F2) (d) (F1 + F2) 16. A boy weighing 30 kg is standing on a flat boat so that his distance from the shore is 20 m. He walks 8 m towards the shore on the boat and then stops. If the boat weight 120 kg, then the boy's distance form the shore is  (a) 20 m (b) 8 m (c)  (d)  17. 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