Rotational MotionHard

Question

A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolution/s about a vertical axis through the centre of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The combined moment of inertia of the system is 1 kg-m2. The boy now stretches his arms so as to hold the masses far from his body. In this situation the moment of inertia of the system increases to 2 kg-m2. The kinetic energy of the system in the latter case as compared with that in the previous case will-

Options

A.Remain unchanged
B.Decrease
C.Increase
D.Remain uncertain

Solution

As he stretches hand, the MI increases so ω decreases and KE
= = KE↓ (∴ I↑)

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