NEET | 2018Work, Power and EnergyHard

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 ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation :-

Options

A.

WC > WB > WA

B.

WA > WB > WC

C.

WB > WA > WC

D.

WA > WC > WB

Solution

W = loss in KE = 12Iω2
IA = 25MR2 = 0.5MR2
IB = 12MR2 = 0.4 MR2
IC = MR2
∴ WC > WB > WA

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