Download 16.1.2017 4.1 Simple harmonic motion

16.1.2017
4.1 Simple harmonic motion
1a.[4marks]
Thisquestionisaboutsimpleharmonicmotion(SHM).
Thegraphshowsthevariationwithtime oftheacceleration ofanobjectXundergoingsimple
harmonicmotion(SHM).
DeterminethemaximumdisplacementofX.Giveyouranswertoanappropriatenumberofsignificant
figures.
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1b.[2marks]
AsecondobjectYoscillateswiththesamefrequencyasXbutwithaphasedifferenceof .Sketch,
usingthegraphopposite,howtheaccelerationofobjectYvarieswith .
2.[1mark]
Anobjectperformssimpleharmonicmotion(SHM)aboutacentralpoint.Theobjecthasvelocityvand
accelerationawhenithasdisplacementxfromthepoint.
Whichratioisconstant?
B. C.
D. 3.[1mark]
AliquidinaU-tubeisgivenaninitialdisplacementandallowedtooscillate.Themotionoftheliquidis
recordedusingamotionsensor.Whichgraphshowsthevariationwithtimetofthevelocityvofthe
liquid?
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4.[1mark]
Abodyundergoessimpleharmonicmotion.Whichgraphcorrectlyshowsthevariationwith
displacementxofthevelocityvofthebody?
5.[1mark]
Thediagramshowsthevariationofvelocityvwithtimetforanobjectperformingsimpleharmonic
motion.
Whichofthefollowingshowshowtheaccelerationavarieswitht?
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6.[1mark]
Forabodyundergoingsimpleharmonicmotionthevelocityandaccelerationare
A.alwaysinthesamedirection.
B.alwaysinoppositedirections.
C.inthesamedirectionforaquarteroftheperiod.
D.inthesamedirectionforhalftheperiod.
7.[1mark]
ApendulumswingsbackandforthinacirculararcbetweenXandY.
Thependulumbobis
A.alwaysinequilibrium.
B.onlyinequilibriumatXandY.
C.inequilibriumasitpassesthroughthecentralposition.
D.neverinequilibrium.
8.[1mark]
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ThegraphshowsmeasurementsoftheheighthofsealevelatdifferenttimestintheBayofFundy.
Whichofthefollowinggivestheapproximateamplitudeandperiodofthetides?
9.[1mark]
Thediagramsshowthevariationwithtimetofthedisplacementyofaparticleofamediumthrough
whichawavetravels.WhichdiagramcorrectlyshowstheperiodTandamplitudeAofthewave?
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10a.[2marks]
Thisquestionisaboutsimpleharmonicmotion.
Anobjectofmassmisplacedonafrictionlesssurfaceandattachedtoalighthorizontalspring.The
otherendofthespringisfixed.
TheequilibriumpositionisatB.ThedirectionBtoCistakentobepositive.Theobjectisreleasedfrom
positionAandexecutessimpleharmonicmotionbetweenpositionsAandC.
Definesimpleharmonicmotion.
10b.[3marks]
(i)Ontheaxesbelow,sketchagraphtoshowhowtheaccelerationofthemassvarieswith
displacementfromtheequilibriumpositionB.
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(ii)Onyourgraph,labelthepointsthatcorrespondtothepositionsA,BandC.
10c.[3marks]
(i)Ontheaxesbelow,sketchagraphtoshowhowthevelocityofthemassvarieswithtimefromthe
momentofreleasefromAuntilthemassreturnstoAforthefirsttime.
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(ii)Onyourgraph,labelthepointsthatcorrespondtothepositionsA,BandC.
10d.[3marks]
Theperiodofoscillationis0.20sandthedistancefromAtoBis0.040m.Determinethemaximum
speedofthemass.
11.[1mark]
Thegraphshowshowthedisplacementvarieswithtimeforanobjectundergoingsimpleharmonic
motion.
Whichgraphshowshowtheobject’saccelerationavarieswithtimet?
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12.[1mark]
Whichgraphcorrectlyshowshowtheacceleration, ofaparticleundergoingSHMvarieswithits
displacement, fromitsequilibriumposition?
13.[1mark]
Thegraphshowshowthevelocity ofanobjectundergoingsimpleharmonicmotionvarieswithtime foronecompleteperiodofoscillation.
Whichofthefollowingsketchgraphsbestshowshowthetotalenergy oftheobjectvarieswith ?
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14.[1mark]
Whichofthefollowinggraphsshowsthevariationwithdisplacement ofthespeed ofaparticle
performingsimpleharmonicmotion.
15.[1mark]
Thisquestionisaboutsimpleharmonicmotion(SHM).
Thegraphshowsthevariationwithtime oftheacceleration ofanobjectXundergoingsimple
harmonicmotion(SHM).
Xhasamassof0.28kg.CalculatethemaximumforceactingonX.
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17.[1mark]
Aparticleperformssimpleharmonicoscillations.Whichofthefollowingquantitieswillbeunaffected
byareductionintheamplitudeofoscillations?
A.Thetotalenergy
B.Themaximumspeed
C.Themaximumacceleration
D.Theperiod
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