First slide
Vertical circular motion
Question

A stone tied to a string is rotated with a uniform speed in a vertical plane. If mass of the stone is m, length of the string is r and linear speed of the stone is v, then tension in the string when the stone is at its lower point is ( g = acceleration due to gravity)

Moderate
Solution

We know that centrifugal force =mv2/r

When the stone is at the lowest point, the tension in string = centrifugal force + weight of stone

∴ T=mv2r+mg

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