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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A body of radius RR and mass MM is rolling horizontally without slipping with speed vv, it then rolls up a hill to a maximum height hh. If h=3v2/4 gh=3 v^2 / 4 \mathrm{~g}, what is the moment of inertia of the body?
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Correct option: A
MR22\frac{\mathrm{MR}^2}{2}
Option A (MR22\frac{\mathrm{MR}^2}{2}) is correct because it satisfies the energy conservation equation when the rolling body climbs the hill to the given height.

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