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Solve the following :

Question:

A small heavy block is attached to the lower end of a light rod of length I 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?

Solution:

Minimum velocity at $A=v$

Minimum velocity at $B=0$

By law of conservation of energy

${ }^{\frac{1}{2}} m v^{2}=m g(2 l)$

$v=2 \sqrt{g l}$

 

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