A small particle hangs from a fixed point \(O \) with the help of a light inextensible string of length \(l\).

The particle is initially at rest, at it lowermost point. Now it is given a horizontal velocity \( \mathcal { V }\) towards right as shown in the figure above. After some time, the particle passes through \( O \).

If the minimum value of \( \mathcal{ V } \) satisfying the above condition can be written as \( \sqrt{ A g l } \) where \( g \) is the gravitational field, find the value of \( A \) to \( 4 \) significant figures.

Note: Neglect air resistance.

This problem is part of the set - Circular Motion Practice

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