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Q.

A disc is free to rotate about a smooth horizontal axis passing through its centre of mass. A particle is fixed at the top of the disc. A slight push is given to the disc and it starts rotating. During the process,

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a

only mechanical energy is conserved

b

only angular momentum (about the axis of rotation) is conserved

c

Both mechanical energy and angular momentum are conserved

d

Neither the mechanical energy nor the angular momentum are conserved

answer is A.

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Detailed Solution

Angular momentum will not remain conserved due to the torque produced by weight of particle acting about axis of rotation. Hence, only mechanical energy is conserved.
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