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A rod AC of length l and mass m is kept ...

A rod `AC` of length `l` and mass `m` is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass `m` moving on the plane with velocity `v` strikes the rod at point `B` making angle `37^@` with the rod. The collision is elastic. After collision,

A

The angular velocity of the rod will be `(72V)/(55l)`

B

The centre of the rod will travel a distance `(pil)/(3)`
in the time which it makes half rotation.

C

Impulse of the impact force is `(24mV)/(55)`

D

The centre of the rod will travel a distance `pi//8` in the time in which it makes `1//4`th rotation.

Text Solution

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The correct Answer is:
A, B, C
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