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Q.

A round object is rolling without slipping on a horizontal surface. If its kinetic energy of translation is equal to 250% of kinetic energy due to rotational motion, then the object must be a

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a

hollow spherical thin shell

b

a solid disc

c

a thin ring

d

a solid sphere

answer is D.

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Detailed Solution

12mV2=250100×12ICω2⇒IC=25m(ωR)2ω2=25mR2→Solid sphere
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A round object is rolling without slipping on a horizontal surface. If its kinetic energy of translation is equal to 250% of kinetic energy due to rotational motion, then the object must be a