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MHT CET202311 May 2023Morning ShiftPhysicsMotion in Two DimensionsActual

A ball of mass ' m ' is attached to the free end of a string of length ' l '. The ball is moving in horizontal circular path about the vertical axis as shown in the diagram. The angular velocity ' ' of the ball will be [ T = Tension in the string. ]

Options

  1. AT l ~m
  2. BTm l
  3. Cm l ~T
  4. DT m l

Correct answer

D. T m l

Step-by-step solution

The tension in the string can be resolved in two components along the perpendicular axis. The gravitational force is acting downwards and the centrifugal force is acting in - x direction aligned & T = mr ^2 & ^2= T mr aligned = T mr From figure, = r l aligned & = Tr mr l & = T m l & aligned

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