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Angular Momentum

A circular di...

Question

A circular disc is rotating in a horizontal plane about vertical axis passing through its centre without friction with a person standing on the disc at its edge. If the person gently walks to centre of the disc, then its angular velocity:

A

increases

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B

decreases

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C

does not change

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D

becomes zero

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Solution

The correct option is A increases
No external torque is present so, Angular momentum will remain conserved.
$∴ L_{1} = L_{2}$
As the man walk towards the center of the disk, the moment of inertia will decrease and because angular momentum is constant, the angular velocity will increase.

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