MHT CET 2026 Physics question
A thin uniform rod AB of mass 'm' and length 'l' 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 B end strikes the ground is (g = acceleration due to gravity)
Answer: (B)
Solution
Use conservation of mechanical energy. The centre of mass of the uniform rod falls from height to the ground level (height 0), so the potential energy lost is . This appears as rotational kinetic energy about the hinge A: with . So
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