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

Moderate

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By Expert Faculty of Sri Chaitanya

a

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

b

the body is a solid sphere

c

moment of inertia of the body about instantaneous axis of rotation is 32mr2

d

moment of inertia of the body about instantaneous axis of rotation is 75mr2

answer is 1,3.

(Detailed Solution Below)

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Detailed Solution

KRKT=Imr2∴  KT=mr2I+mr2KTotal  or  KTotal =I+mr2mr212mv2=mgh=mg34v2g Solving we get I=12mr2So it is either solid cylinder or disc.
ctaimg
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