A particle of mass m is attached to a string of length L and given velocity `sqrt(10gL)` in the horizontal direction at the lowest point. Find tension in the string when the particle is at (i) lowest position (ii) highest position,

Explanation

To solve the problem, we need to find the tension in the string when the particle is at two positions: the lowest point and the highest point.

### Given:
- Mass of the particle = \( m \)
- Length of the string = \( L \)
- Initial velocity at the lowest point = \( v = \sqrt{10gL} \)

### Step 1: Tension at the Lowest Position
...