What happens to period if amplitude is doubled?

Time period is independent of the amplitude of vibration. Therefore, time period remains unchanged on doubling the amplitude of oscillation. When amplitude is doubled, the maximum velocity becomes twice. (iii) Acceleration at mean position is zero and is independent of the amplitude of vibration.

What happens to the energy of a simple harmonic oscillator if it’s amplitude is doubled?

(A) : If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes quadrupled. (R): The total energy is directly proportional to the amplitude of vibration of the harmonic oscillator.

What happens to spring constant when amplitude is doubled?

If the amplitude is doubled, while keeping k constant, then the mechanical energy will increase by 22 = 4. Therefore, energy increases by a factor of four.

Does the amplitude of the harmonic motion affect its period?

Note that in the case of the pendulum, the period is independent of the mass, whilst the case of the mass on a spring, the period is independent of the length of spring. The period of a simple harmonic oscillator is also independent of its amplitude.

What factors affect the period of simple harmonic motion?

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

What happens to the simple harmonic oscillator?

The velocity and acceleration of a simple harmonic oscillator oscillate with the same frequency as the position, but with shifted phases. The velocity is maximal for zero displacement, while the acceleration is in the direction opposite to the displacement.

What happens to the energy of simple harmonic oscillator?

In the case of undamped simple harmonic motion, the energy oscillates back and forth between kinetic and potential, going completely from one to the other as the system oscillates.

What is the period if the spring constant is doubled?

T = 1s. The period if the value of the spring constant is quadrupled is 1 s. The period is independent of the amplitude. Therefore, if the oscillation amplitude is doubled while m and k are unchanged then the period will remain 2.0s.

How does spring constant affect period of a spring?

A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases. For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.