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A stone of mass 1 kg tied to a light inextensible string of length L = 10 3 m is whirling in a circular path of the radius L in the vertical plane. If the ratio of the maximum tension to the minimum tension in the string is 2 . What is the speed of stone (in m s - 1 ) at the highest point of the circle? (Taking g = 10 m s - 2 )

Correct answer

10

Step-by-step solution

T max T min = mv 2 L + mg mv 2 L - mg = 2 Solving it. mv 2 L = 3 mg v = 3 gL = 3 1 0 1 0 0 3 = 1 0   m s - 1

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