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A wodden log mass M and length L is hing...

A wodden log mass `M` and length `L` is hinged by a frictionless nail at `O.A` bullet of mass `m` strikes with velocity `v` and strikes with velocity `v` and sticks to it . Find angular velocity of the system immediately after after the collision about `O`.
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Text Solution

Verified by Experts

The correct Answer is:
`omega = (3mv)/((3m + M) L)`
Angular momentum of the system about point `O` will remain conserved.
`L_(i) = L_(f)`
`mvL = I omega rArr mvL = [mL^(2) + (ML^(2))/(3)) omega`
`omega = (3mv)/(L(3 m + M))`.
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