Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω about their own symmetric axes. The amounts of work ( W ) r

Question

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed &#969; about their own symmetric axes. The amounts of work ( W ) required to bring them to rest, would satisfy the relation

Quantrex Academy · Accepted Answer

Correct answer: C. W C > W B > W A

By work-energy theorem W = l o s s i n K E = 1 2 I ω 2 I A = 2 5 M R 2 = 0.4 M R 2 I B = 1 2 M R 2 = 0.5 M R 2 I C = M R 2 ∴ W C > W B > W A

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω about their own symmetric axes. The amounts of work ( W ) required to bring them to rest, would satisfy the relation

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More from Rotational Motion

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed &#969; about their own symmetric axes. The amounts of work ( W ) required to bring them to rest, would satisfy the relation

Options

Correct answer

Step-by-step solution

More from Rotational Motion

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω about their own symmetric axes. The amounts of work ( W ) required to bring them to rest, would satisfy the relation