Question
A stone is fastened to one end of a string and is whirled in a vertical circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.

Answer

At the highest point of a vertical circle$\frac{\text{mv}^2}{\text{R}}=\text{mg}$
$\Rightarrow\text{v}^2=\text{Rg}\Rightarrow\text{v}=\sqrt{\text{Rg}}$

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