MHT CET 2024 Physics question
A thin uniform rod of length 'L' and mass 'M' is swinging freely along a horizontal axis passing through its centre. Its maximum angular speed is ''. Its centre of mass rises to a maximum height of [g = gravitational acceleration]
Answer: (D)
Solution
Use conservation of energy between the lowest position (maximum angular speed) and the highest position (rest): rotational kinetic energy at the bottom equals the gain in potential energy, . For a thin rod about a perpendicular axis through its centre, . Hence
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