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Question

A small object of uniform density rolls up a curved surface with an initial velocity V. It reaches up to a maximum height of 3V24g w.r.t. the initial position [neglect initial potential energy]. The object is a


A
ring
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B
solid sphere
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C
hollow sphere
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D
disc
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Solution

The correct option is D disc
Initial energy Ei=12mv2+12Iω2
Final energy Ef=mgh

By using energy conservation,
Ei=Ef12mv2+12Iv2R2=mg3v24gI=MR22
and as we know a disc having moment of inertia as same.

Hence, the given body is a 'Disc'.

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