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COMEDK2023PhysicsMotion in Two Dimensions

One end of the string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed v , the net force on the particle (directed towards centre) will be ( T represents the tension in the string)

Options

  1. AT
  2. BT+ m v^2 l
  3. CT- m v^2 l
  4. Dzero

Correct answer

A. T

Step-by-step solution

Consider the string of length l connected to a particle as shown in the figure Speed of the particle is v . As, the particle is in uniform circular motion, the net force on the particle must be equal to centripetal force which is provided by the tension (T) . aligned Net force & = Centripetal force & = Tension in string m v^2 l & =T aligned

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