# Angular velocity

A rod $$XY$$ of length $$L$$ and mass $$M$$ can freely rotate around the pivot at one end $$X.$$ A bullet of mass $$m ,$$ flying at a velocity of $$v ,$$ hits and gets stuck in the rod at the height $$h (< L)$$ from end $$X.$$ Find the angular velocity of the rod right after the hit.

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