Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane…

Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii of the bodies are same. The ratio of velocity of the centre of mass at the bottom of the inclined plane of the ring to that of the cylinder is x2. Then, the value of x is

Solution

In both, cases is about point of contact ring,

mgh=12Iω2

mgh=122 mR2VR2R2

VR=gh

Solid cylinder

mgh=12Iω2

mgh=1232mR2vC2R2

vC=4gh3

vRvC=32

Asked in: JEE Main 2021 (20 Jul Shift 2)

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