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Simple hormonic motion

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Question

A pendulum oscillates in a vertical plane. When the bob is at extreme position, its acceleration is 5m/s2. If g=10m/s2, angular amplitude of oscillation of the pendulum is

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Solution

At extreme position A, tangential unbalanced force acting on the bob is  mg sinϕ.

 So acceleration at this position a=mgsinϕm=gsinϕ

Given  10sinϕ=5sinϕ=12ϕ=30o


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