SHM TEST

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?

• ¼π rad

• ½π rad

• ¾π rad

• 2π rad

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^-1

• 0.22 m s^-1

• 0.40 m s^-1

• 0.80 m s^-1

A body is in 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 is 0.30 m?

• 0.10 m s^-1

• 0.15 m s^-1

• 0.20 m s^-1

• 0.40 m s^-1

• zero

Which graph shows the variation of the kinetic energy, E_k, with displacement x for a

particle performing simple harmonic motion?

• 
• 
• 
• 

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?

• 
• 
• 
• 

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude

remains the same, which one of the following is also doubled?

• the time period

• the total energy

• the maximum velocity

• the maximum acceleration

The graph shows the variation in displacement with time for an object moving with simple

harmonic motion.
What is the maximum acceleration of the object?

• 0.025 m s^-2

• 0.99 m s^-2

• 2.5 m s^-2

• 9.8 m s^-2