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Intro to Torque

A stone is fa...

Question

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

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Solution

At the highest point of vertical circle,

$\frac{m v^{2}}{R} = m g \Rightarrow v^{2} = R g \Rightarrow v = \sqrt{R g}$

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