Q.
If frictional force is neglected and girl bends her hand, then (initially girl is rotating on chair)
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System of Particles and Rotational Motion
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Solution:
As there is no external torque, so if the girl bends her hands, her moment of inertia about the rotational axis will decrease. By conservation of angular momentum, L=Iω= constant. So in order to keep L constant, if I is decreasing, then ω will increase.