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Question

Suppose the amplitude of a simple pendulum having a bob of mass m is θ0. Find the tension in the string when the bob is at its extreme position.

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Solution

The velocity is zero at the extreme position. The particle reaches this extreme position stays there for a very short period of time and comes back downwards due to gravitational force. In that short period of time, the force of tension is exactly balanced by the mgcosθ0 component.
T=mgcosθ0

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