Angular velocity

Classical Mechanics Level 3

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

m v h m h 2 + 1 3 M L 2 \frac{mvh}{mh^2 + \frac{1}{3}ML^2 } m v h m h 2 + 1 4 M L 2 \frac{mvh}{mh^2 + \frac{1}{4}ML^2 } m v h m h 2 + M L 2 \frac{mvh}{mh^2 + ML^2 } m v h m h 2 + 1 2 M L 2 \frac{mvh}{mh^2 + \frac{1}{2}ML^2 }

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Srinivasa Satti by Srinivasa Satti

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