Why does period not depend on amplitude?

Noting that K is a constant of the motion, the displacement in each successive interval of time is proportional to the initial displacement A which is the amplitude of the motion. If the amplitude doubled so would the distance covered in a given time. Thus the period of the motion does not depend on the amplitude.

Does time period of SHM depends on amplitude?

The time period of simple harmonic motion does not depend on amplitude, energy or the phase constant.

Is the period of simple harmonic motion independent of the amplitude of the motion?

The period of a simple harmonic oscillator is also independent of its amplitude. With the velocity and acceleration graphs given by the time derivatives. These oscillators also demonstrate the transfer between kinetic and potential energy.

Why doesn’t amplitude affect the period of a spring?

The increase in force proportionally increases the acceleration of the mass, so the mass moves through a greater distance in the same amount of time. Thus, increasing the amplitude has no net effect on the period of the oscillation.

What does SHM depend on?

In fact, the mass m and the force constant k are the only factors that affect the period and frequency of simple harmonic motion.

How does time period vary with amplitude?

The time period of simple pendulum does not depend on its amplitude.

Why doesn’t the mass of a pendulum affect the period?

The mass of a pendulum’s bob does not affect the period. As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs.

Why time period is independent of mass?

The mass on a pendulum does not affect the swing because force and mass are proportional and when the mass increases so does the force. As the force increases so doesthe acceleration and along with gravity are the factors that affect the pendulum swing. Therefore, the mass does not affect the periodof the pendulum.