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A particle of mass 1kg is projected at a...

A particle of mass `1kg` is projected at an angle of `theta=pi//4` from horizontal with a muzzle velocity of `20 m//s`. A long slender rod of mass `5kg` and length `30 m` is suspended vertically from a point at the same horizontal leves as that of point of projection and at a distance of `60m` from the projection point. The rod can rotate freely. If collision occurs, it is perfectly plastic. (`g=10m//s^(2)`)
Angular velocity of rod after collision is

A

`(1)/(4sqrt(2))rad//sec`

B

`(4)/(sqrt(2))rad//sec`

C

`4sqrt(2)rad//sec`

D

zero

Text Solution

Verified by Experts

Hint : First find the point where collision occurs using equation of trajectory. Then use conservation of angular momentum. After collision energy conservation is valid.
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