Question

A mathematical pendulum is performing free harmonic oscillations. When you increase the amplitude of the pendulum oscillations, you also change... (select all that apply)

Group of answer choices

frequency

period

maximum kinetic energy

maximum potential energy

maximum velocity

maximum torque of the gravity force

maximum angle of displacement from equilibrium

maximum angular velocity

none of the above

Answer 1

On increasing the amplitude of a simple pendulum,

The frequency of the pendulum remains unchanged as the formula for the frequency of a pendulum is given by ={1/2π}× √(g/l) , hence it is independent of amplitude.

the period of the pendulum also remains unchanged as the period is defined as the inverse of the frequency.

The maximum kinetic energy of the pendulum increases because as we increase the amplitude of the pendulum the potential energy at the maximum displacement is increased and hence this increased potential energy is going to be converted into the maximum kinetic energy of the equilibrium position.

The maximum potential energy of the pendulum increases as the amplitude is increased.

The maximum velocity of the pendulum increases as the maximum kinetic energy has been increased.

Maximum torque of the gravity force increases because the torque is directly related with the amplitude.

maximum angle of displacement from the equilibrium position is increased as we increase the amplitude of the pendulum.

maximum angular velocity doesn't gets changed as the angular velocity is given by the formula = 2π×frequency . Since frequency remains unchanged therefore the angular velocity would also remain unchanged.

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