# Linear momentum

A uniform 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 linear momentum of the system right after the hit.

$$\omega$$ denotes the angular velocity right after the hit.

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