A thin uniform rod of mass 1 kg and length 1 m is hanged at one end to the ground floor. It originally stands vertically and is allowed to fall to the ground. If the rod hits the ground with angular speed ω then the correct statement is (Assume g = 10 m s - 2

Question

A thin uniform rod of mass 1 kg and length 1 m is hanged at one end to the ground floor. It originally stands vertically and is allowed to fall to the ground. If the rod hits the ground with angular speed ω then the correct statement is (Assume g = 10 m s - 2, ω = 30 rad s - 1, ω = 20 rad s - 1, ω = 5 rad s - 1, ω = 6 rad s - 1

MARKS App · Accepted Answer

By the conservation of energy, m g L 2 = 1 2 I ω 2 , the moment of inertia of rod when the axis of rotation passing through one end is, I = M L 2 3 , it means, ω = 3 g L , given, L = 1 m , it means, ω = 3 × 10 × 1 = 30 rad s - 1

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