Question 1

Which graph best shows how the kinetic energy of a simple pendulum varies with displacement from the equilibrium position?

  A  
  B  
  C  
  D  

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Question 2

The graph shows how the displacement of a particle performing simple harmonic motion varies with time.


Which statement is not correct?

the speed of the particle is a maximum at time 4T​
the potential energy of the particle is zero at time 43 T​
the acceleration of the particle is a maximum at time 2T​
the restoring force acting on the particle is zero at time T

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Question 3

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same which of the following is also doubled?

  A  

the time period


  B  

the total energy

  C  

the maximum velocity

  D  

the maximum acceleration


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Question 4

A particle oscillates with undamped simple harmonic motion.

The acceleration of the particle

  A  

is always in the opposite direction to its velocity


  B  

decreases as the potential energy increases


  C  

is proportional to the frequency

  D  

is least when the speed is greatest

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Question 5

A simple pendulum and a mass-spring system have the same oscillation frequency f at the surface of the Earth. The pendulum and the mass-spring system are taken down a mine where the acceleration due to gravity is less than at the surface. What is the change in the frequency of the simple pendulum and the change in the frequency of the mass-spring system?

  A  
  B  
  C  
  D  

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Question 6

A simple pendulum and a mass−spring system each have a time period T on the Earth.

They are taken to the surface of a planet where the acceleration due to gravity is g4\frac{g}{4}.

What are the time periods of the pendulum and the mass−spring system on this planet?

  A  
  B  
  C  
  D  

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Question 7

A particle of mass m is oscillating with simple harmonic motion.

The period of the oscillation is T and the amplitude is A.

What is the maximum kinetic energy of the particle?

2 T2m A2​
2 T2π2m A2​
T22 m A2​
T22 π2 m A2​

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Question 8

A particle of mass m undergoes simple harmonic motion with amplitude A and frequency f.

What is the total energy of the particle?

  A  

2πmfA2

  B  

2π2mf2A2


  C  

4π2m2f2A

  D  

4π2mf2A2


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Question 9

A mass of 0.90 kg is suspended from the lower end of a light spring of stiffness 80 N m−1.

When the mass is displaced vertically and released, it undergoes vertical oscillations of small amplitude.

What is the frequency of the oscillations?

  A  

0.071 Hz

  B  

0.67 Hz

  C  

1.50 Hz

  D  

14 Hz

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Question 10

The period of a simple pendulum is doubled when the pendulum length is increased by 1.8 m.

What is the original length of the pendulum?

  A  

0.45 m

  B  

0.60 m

  C  

0.90 m

  D  

3.6 m

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Question 11

The graph shows the variation of displacement d with time t for a particle moving with simple harmonic motion of    period T.

Which graph shows the variation of kinetic energy Ek of the particle with time?

  A  
  B  
  C  
  D  

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