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MHT CET202211 Aug 2022Morning ShiftPhysicsOscillationsActual

The force constant of an oscillating simple pendulum is

Options

  1. AIndependent of mass of the bob as well as length of the pendulum
  2. BInversely proportional to mass of the bob and length of the pendulum
  3. CDirectly proportional to the mass of the bob
  4. DDirectly proportional to length of the bob

Correct answer

C. Directly proportional to the mass of the bob

Step-by-step solution

For a simple pendulum, restoring torque equates the aligned & =-m g L =I & =- m g L mL^2 - g L & - ( g L ) =- ^2 =- ( g L ) aligned Force constant of an oscillating simple pendulum is given by k=m ^2k m and k ^2= ( g L ) Therefore, force constant of an oscillating simple pendulum is directly proportional to the mass of the bob.

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