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Q.

Two men of equal masses stand at opposite ends of the diameter of a turntable disc of a certain mass, moving with constant angular velocity. The two men make their way to the middle of the turntable at equal rates. In doing so

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a

kinetic energy of rotation has increased while angular momentum remains the same.

b

kinetic energy of rotation has decreased while angular momentum remains same.

c

kinetic energy of rotation has decreased but angular momentum has increased.

d

both kinetic energy of rotation and angular momentum have decreased

answer is A.

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Detailed Solution

I1ω1=I2ω2Since, men move towards middle of turn table I2 decreases hence ω2 increases.So kinetic energy increases and angular momentum remains constant.
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Two men of equal masses stand at opposite ends of the diameter of a turntable disc of a certain mass, moving with constant angular velocity. The two men make their way to the middle of the turntable at equal rates. In doing so