SHM Quiz

A particle of mass m oscillates in a straight line with simple harmonic motion of constant

amplitude. The total energy of the particle is E. What is the total energy of another particle of

mass 2m, oscillating with simple harmonic motion of the same amplitude but double the

frequency?

• E

• 2E

• 4E

• 8E

A particle oscillates with undamped simple harmonic motion. Which one of the following

statements about the acceleration of the oscillating particle is true?

• It is least when the speed is greatest.

• It is always in the opposite direction to its velocity.

• It is proportional to the frequency.

• It decreases as the potential energy increases.

Which one of the following gives the phase difference between the particle velocity and the

particle displacement in simple harmonic motion?

A body moves in simple harmonic motion of amplitude 0.90 m and period 8.9 s. What is the

speed of the body when its displacement is 0.70 m?

• 0.11 m/s

• 0.22 m/s

• 0.40 m/s

• 0.80 m/s

• zero

A ball bearing rolls on a concave surface, as shown in the diagram, in approximate simple harmonic motion. It is released from A and passes through the lowest point B before reaching C.

It then returns through the lowest point D. At which stage, A, B, C or D, does the ball bearing experience maximum acceleration to the left?

• A

• B

• C

• D

A body moves with simple harmonic motion of amplitude 0.50 m and period 4π seconds.

What is the speed of the body when the displacement of the body from the equilibrium position is

0.30 m?

• 0.10 m/s

• 0.15 m/s

• 0.20 m/s

• 0.40 m/s

Which graph, A to D, shows the variation of the kinetic energy, E_k, with displacement x for a particle performing simple harmonic motion?

• A

• B

• C

• D

An object oscillating in simple harmonic motion has a time period T. The first graph shows

how its displacement varies with time. Which of the subsequent graphs, A to D, show how the

kinetic energy, E_k, of the object varies with time?

• A

• B

• C

• D

Which one of the following graphs shows how the acceleration, a, of a body moving with simple harmonic motion varies with its displacement, x?

• A

• B

• C

• D