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Q.

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 lowest point is

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a

mg

b

mv2r

c

(mv2r)-mg

d

(mv2r)+ mg

answer is D.

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Detailed Solution

We know that centrifugal force = mv2rWhen the stone is at the lowest point, thenTension in string = centrifugal force + weight of stoneT = mv2r+ mg
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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 lowest point is