A L shaped rod of mass M is free to rotate in a vertical plane about axis A A ′ as shown in figure. Maximum angular acceleration of rod is

Question

A L shaped rod of mass M is free to rotate in a vertical plane about axis A A ′ as shown in figure. Maximum angular acceleration of rod is, 3 g 10 l, 9 g 10 l, 9 g 5 l, 6 g 5 2 l

MARKS App · Accepted Answer

Moment of inertia about axis A A ' is I A A ' = M 2 l 2 12 + M 2 5 l 2 4 + M 2 l 2 3 ∴ O D = 5 l 2 O C = 10 l 4 ( point C is centre of mass of the system ) Torque of M g will be maximum when O C is horizontal ∴ α = τ I A A ' = M g 10 l 4 5 M l 2 6 α = 3 g 10 l

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