Question
A small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?
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Answer
Let the velocity of the body at A is ‘V’ for minimum velocity given at A velocity of the body at point B is zero.Applying law of conservation of energy at A & B.
$\frac{1}{2}\text{mv}^2=\text{mg}(2\ell)$
$\Rightarrow\text{v}=\sqrt{(4\text{g}\ell)}=2\sqrt{\text{g}\ell}$
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