JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Laws of Motion

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A stone of mass m , tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is :

(A)the same throughout the motion
(B)minimum at the highest position of the circular path✓ Correct
(C)minimum at the lowest position of the circular path
(D)minimum when the rope is in the horizontal position

Answer: (B)

Solution

In vertical circular motion, tension varies with position. At the highest point, tension

T_{t o p} = \frac{m v ^{2}}{r} - m g

. At the lowest point, tension

T_{b o tt o m} = \frac{m v ^{2}}{r} + m g

. Since the weight component subtracts from the required centripetal force at the top but adds at the bottom, tension is minimum at the highest position.

JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Single correct option

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