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Question

A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated in order to complete the circle :
decreases with increasing the mass of the stone
is independent of the mass of the stone
decreases with increasing the length of the string
is independent of the length of the string

A

decreases with increasing the length of the string

B

decreases with increasing the mass of the stone

C

is independent of the mass of the stone

D

is independent of the length of the string

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Solution

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We can use the conservation of energy equation to find minimum speed required for completing the circle
$V = \sqrt{5 R g}$ (this speed is minimum speed required for completing the circle)
i.e. independent of the mass of the stone.

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