MHT CET 2022 Physics question
A uniform rod of mass 'M' and length 'L' is suspended form the rigid support. A small bullets of mass 'm' hits the rod with velocity 'v' and gets embedded into the rod. The angular velocity of the system just after impact is
Answer: (C)
Solution
The rod is suspended (pivoted) at one end and the bullet strikes the free end, so the pivot force exerts no torque about the pivot and angular momentum about the pivot is conserved. Before impact: (the rod is at rest). After impact the system rotates with moment of inertia \dfrac{ML^2}{3}mL^2$ =
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