A small bob hangs in the vertical plane from a fixed point using a light inextensible rigid rod of length . Let the minimum horizontal velocity that the bob should be given so that it moves in a complete circle be .
If can be written as where is the gravitational field, find the value of the constant .
Note: Neglect air resistance.
This problem is part of the set - Circular Motion Practice
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Since the ball is attached with a rod, we don't have to consider slacking of it at the highest point.
So, we straightaway resort to applying law of conservation of energy to find the answer. I am omitting the calculations here.