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Question

A circular disc $$A$$ and a ring $$B$$ have same mass and same radius. If they are rotated with the same angular speed about their own axis, then


A
A has less moment of inertia than B
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B
A has less rotational kinetic energy than B
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C
A and B have the same angular momentum
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D
A has greater angular momentum than B
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E
A has the same moment of inertia as that of B
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Solution

The correct options are
A $$A$$ has less rotational kinetic energy than $$B$$
B $$A$$ has less moment of inertia than $$B$$
Moment of inertia of disc
$$I_{disc} = \dfrac {MR^{2}}{2}$$
Moment of inertia of ring $$I_{ring} = MR^{2}$$
Therefore, $$A$$ has less moment of inertia than $$B$$ because of which $$A$$ has less rotational kinetic energy than $$B$$.

Physics

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