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A hollow sphere of radius R lies on a sm...

A hollow sphere of radius R lies on a smoth horizontal surface. It is pulled by a horizontal force acting tangentially from the highest point. Find the distance travelled by the sphere during the time it makes one full rotation.

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The correct Answer is:
C, D
Taking moment about the centre of hollow shpere we will get
`rarr FxxR=(2/3)MR^2alpha`
`rarr alpha=(3F)/(2MR)`
again `2pi=1/2at^2`
`(From theta=omega_0t+1/2alphat^2)`
`rarr t^2=(8piMR)/(3F)`
rarr a_c=F/M`
`-X=1/(2a_c)t^2`
`=1/2xxF/Mxx((8piMR)/(3F))=(4piR)/3`
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