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Work Energy Theorem Application

A stone tied ...

Question

A stone tied to string is rotated in a vertical circle. The minimum speed of the stone at the bottom most point so that it just completes the vertical circle.

A

Decreases with increasing mass of the stone

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B

Is independent of the mass of the stone

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C

Decreases with increasing in length of the string

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D

Is independent of the length of the string

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Solution

The correct option is B Is independent of the mass of the stone
The minimum speed with which the string must be rotated so that it completes the vertical circle is give by
$u = \sqrt{5 R g}$ (for lowest point of vertical loop)
So, we can say that it does not depends on the mass of the stone.

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