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A stone tied to an inextensible string o...

A stone tied to an inextensible string of length `l = 1 m` is kept horizontal. If it is released, find the angular speed of the stone when the string makes an angle `theta = 30^@` with horizontal.

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To find the angular speed of the stone when the string makes an angle of \( \theta = 30^\circ \) with the horizontal, we can follow these steps: ### Step 1: Understand the Setup The stone is tied to an inextensible string of length \( l = 1 \, \text{m} \) and is released from a horizontal position. As it falls, it moves in a circular path. ### Step 2: Identify Forces Acting on the Stone When the stone is at an angle \( \theta \) with the horizontal, two forces act on it: 1. The gravitational force \( mg \) acting downwards. ...
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