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Q.

A mass m of radius r is rolling horizontally without any slip with a linear speed v. It then rolls up to a height given by 34v2g

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a

the body is identified to be a disc or a solid cylinder

b

the body is a solid sphere

c

MOI of the body about instantaneous axis of rotation is 32mr2

d

MOI of the body about instantaneous axis of rotation is 25mr2

answer is A.

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Detailed Solution

Use v=2ghβ where,β=1+IMr2
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A mass m of radius r is rolling horizontally without any slip with a linear speed v. It then rolls up to a height given by 34v2g