MHT CET 2023 Physics question
A thin uniform rod AB of mass 'm' and length '' is hinged at one end A to the ground level. Initially the rod stands vertically and is allowed to fall freely to the ground in the vertical plane. The angular velocity of the rod when its end B strikes the ground is (g = acceleration due to gravity)
Answer: (C)
Solution
The hinge exerts no work, so mechanical energy is conserved. The centre of mass of the rod falls through , so the loss of potential energy is . This becomes rotational kinetic energy about the hinge, with moment of inertia . Hence
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