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Q.

A rigid body of radius R, either hollow or solid, lies on a smooth horizontal surface. The body is pulled by a horizontal force acting tangentially from the highest point. The distance travelled by the body in the time in which it makes one full rotation is the same that it will make in one fulI rotation during pure rolling. The rigid body will be

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a

solid sphere

b

hollow sphere

c

circular disc

d

hollow cylinder

answer is D.

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Detailed Solution

τ=F×R=IαIn one full rotation, θ=2π=12αt2                      t2=4πα=4πIFR Linear acceleration, a=F/M Distance travelled in one rotation =2πR (given) =12at2=12FM⋅4πIFR=2πIMR It gives I=MR2It is a hollow cylinder.
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