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MHT CET202122 Sep 2021Morning ShiftPhysicsLaws of MotionActual

A bob of a simple pendulum of mass ' m ' is displaced through 90^ from mean position and released. When the bob is at lowest position, the tension in the string is

Options

  1. A4mg
  2. B2mg
  3. Cmg
  4. D3mg

Correct answer

D. 3mg

Step-by-step solution

When it is displaced through 90^ from mean position, it is at a height ' r ' and has potential energy mgr. At the lowest position this potential energy is converted into kinetic energy. aligned & 1 2 mv ^2= mgr & mv ^2= mgr aligned At the lowest position the tension in the string T = mg + mv ^2 r = mg +2 mg =3 mg

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