A wooden log of mass M&length L is hinged by a frictionless of nail at O. A bullet of mass m strikes with velocity v & sticks to it. Find the angular velocity of the system immediately after collision -

Options

A. `(mv)/(M+m)`
B. `(3mv)/((M+m)L)`
C. `(3mv)/((M+3m)L)`
D. `(mv)/((M+3m)L)`

Answer

C

Explanation

`"mvL"=((ML^(2))/3+mL^(2))omega`
`omega=(3mv)/((M+3m)L)`