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.

Explanation

To solve the problem of finding 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 Forces Acting on the Stone
When the stone is released, it experiences two forces:
- The gravitational force acting downwards, \( mg \).
- The tension in the string, \( T \).

At the angle \( \theta = 30^\circ \), we can resolve the gravitational force into two components:
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