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A simple pendulum is constructed by atta...

A simple pendulum is constructed by attaching a bob of mass m to a string of length L fixed at its upper end. The bob oscillates in a vertical circle. It is found that the speed of the bob is v when the string makes an angle `theta` with the vertical. Find the tension in the string at this instant.

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To find the tension in the string of a simple pendulum when the bob is at an angle θ with the vertical and moving with speed v, we can follow these steps: ### Step-by-Step Solution: 1. **Identify Forces Acting on the Bob**: - The forces acting on the bob are: - The gravitational force (weight) acting downwards: \( F_g = mg \) - The tension in the string acting along the string towards the pivot point: \( T \) ...
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