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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