MHT CET202211 Aug 2022Morning ShiftPhysicsOscillationsActual
The force constant of an oscillating simple pendulum is
Options
- AIndependent of mass of the bob as well as length of the pendulum
- BInversely proportional to mass of the bob and length of the pendulum
- CDirectly proportional to the mass of the bob
- 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.