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Work Energy Theorem Application

Suppose the a...

Question

Suppose the amplitude of a simple pendulum having a bob of mass $m$ is $θ_{0}$ . Find the tension in the string when the bob is at its extreme position.

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Solution

Free body diagram for the given scenario is shown in the attached figure.

At extreme position, speed is zero and hence, centripetal force is zero.
$T - m g c o s θ_{o} = 0$
$T = m g c o s θ_{o}$

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