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Question

a person is standing on a rotating table with metal spheres in his outstrechedhands.if he draws his hand inwards towards his chest what will be the effect on his angular speed

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Solution

Angular speed will increase
since no external torque on system Hence angular momentum remains constant
initial angular momentum =final angular momentum
(I1*W2)=(I2W2)
Since I2(moment of inertia) decreases due mass concentrate towards the axis of rotation (mr2)..
Hence W2 increases

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