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A uniform disc of mass 'm' and radius R ...

A uniform disc of mass `'m'` and radius `R` is placed on a smooth horizontal floor such that the plane surface of the disc in contact with the floor . A man of mass `m//2` stands on the disc at its periphery . The man starts walking along the periphery of the disc. The size of the man is negligible as compared to the size of the disc. Then the center of disc.

A

moves along a circle of radius `(R)/(3)`

B

moves along a circle of radius `(2R)/(3)`

C

moves along a circle of radius `(R)/(2)`

D

does not move along a circle

Text Solution

Verified by Experts

The correct Answer is:
A
The centre of mass of man `+` disc shall always remain at rest. Since the man is always at periphery of disc, the centre of disc shall alwas be at distance `R//3` from centre of mass of two body system .Hence centre of disc moves in circle of radius `R//3`
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