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Four objects with the same mass and radius are spinning freely about a diameter with the same angular speed. Arrange the work required to stop them in the decreasing order
a) Solid sphere b) Hollow sphere c) Disc d) Hoop

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c, a, b, d

a, b, c, d

b, a, d, c

d, b, c, a

answer is A.

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Detailed Solution

Magnitude of work done, $W = K E_{f} - K E_{i}$

Since final KE is zero work done is equal to $K E_{i}$

Now $K E_{i} = \frac{1}{2} I ω^{2}$

$I_{s o l i d s p h e r e} = \frac{2}{5} M R^{2}, I_{h a l l o w s p h e r e} = \frac{2}{3} M R^{2}$

$I_{d i s c} = \frac{1}{2} M R^{2}, I_{h o o p} = M R^{2}$

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