Simple harmonic motion

The displacement against time graphs for two waves are shown below. Each wave has a frequency of 500 Hz. What are the angular frequency of each wave and the phase difference between them?

The graph shows the variations of the displacement x of a wave with time. What are the period, the frequency and the angular frequency of the wave?

• period 0.00875 s

  frequency 114 Hz

  angular frequency 359 rad s^-1

• period 0.0175 s

  frequency 57 Hz

  angular frequency 359 rad s^-1

• period 8.75 s

  frequency 0.114 Hz

  angular frequency 0.718 rad s^-1

• period 17.5 s

  frequency 0.057 Hz

  angular frequency 0.718 rad s^-1

A mass on a spring oscillates up and down with simple harmonic motion. The diagram shows how the velocity of the mass varies with time.

At which point, A, B, C or D does the oscillating body have its velocity and its displacement from the equilibrium position, in the same direction?

• A

• B

• C

• D

A mass handing from a spring is pulled down 12 cm from equilibrium position and released.

The time taken for the mass to travel back to the equilibrium position for the first time is 0.25 s.

The mass oscillates with a constant amplitude and period.

What are the amplitude and period of the oscillations?

• 12 cm; 1 s

• 12 cm; 0.5 s

• 24 cm; 1 s

• 24 cm; 0.5 s

A body with maximum velocity 3.0 m s^-1 performs simple harmonic oscillations with period 0.063 s. Choose the answer with the correct values of the amplitude and the angular frequency

• 0.03 m

  100 rad/s

• 0.19 m

  16 rad/s

• 5.3 m

  16 rad/s

• 3.3 m

  100 rad/s

Object oscillates in simple harmonic motion with a frequency of 0.50 Hz and amplitude 1.5 cm.

What is its maximum acceleration?