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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2022 · 24 June · Evening Shift · Physics · Work, Power and Energy

A stone of mass m , tied to a string is being whirled in a vertical...

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

Options

  1. Athe same throughout the motion.
  2. Bminimum when the rope is in the horizontal position.
  3. Cminimum at the highest position of the circular path.
  4. Dminimum at the lowest position of the circular path.

Correct answer

C. minimum at the highest position of the circular path.

Step-by-step solution

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

As the speed is constant, centripetal force required towards the centre of the circle will be same. At the top, direction of gravitational force and tension acting on the object will be same. Therefore, we can write,

mg+T=mv2r⇒T=mv2r−mgmg + T = \dfrac{m{v}^{2}}{r} ⇒ T = \dfrac{m{v}^{2}}{r} - mg.

Clearly in this case, tension in the string will be minimum.

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