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Simple Harmonic Motion - Multiple Choice Questions

Q11. Which one of the following statements always applies to a damping force acting on a vibrating system?

A It is in the same direction as the acceleration.
B It is in the same direction as the displacement.
C It is in the opposite direction to the velocity.
D It is proportional to the displacement.

 

Q12. Which one of the following statements concerning the acceleration of an object moving with simple harmonic motion is correct?

A It is constant.
B It is at a maximum when the object moves through the centre of the oscillation.
C It is zero when the object moves through the centre of the oscillation.
D It is zero when the object is at the extremity of the oscillation.

 

Q13. When the length of a simple pendulum is decreased by 600 mm, the period of oscillation is halved. What was the original length of the pendulum?

A
800 mm
B
1000 mm
C
1200 mm
D
1400 mm

 

Q14. Which one of the following gives the phase difference between the particle velocity and the particle displacement in simple harmonic motion?

A
/4 rad
B
/2 rad
C
3/4 rad
D
2 rad

 

Q15. A body executes simple harmonic motion. Which one of the graphs, A to D, best shows the relationship between the kinetic energy, Ek, of the body and its distance from the centre of oscillation?

 

Q16. The displacement (in mm) of the vibrating cone of a large loudspeaker can be represented by the equation x = 10 cos (150t), where t is the time in s. Which line, A to D, in the table gives the amplitude and frequency of the vibrations.
amplitude/mm
frequency/Hz
A
5
10/2
B
10
150
C
10
150/2
D
20
150/2

 

Q17. A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?

A The applied force prevents the amplitude from becoming too large.
B The frequency of the applied force is the same as the natural frequency of oscillation of the system.
C The total energy of the system is constant.
D The amplitude of oscillations depends on the amount of damping.

 

Q18. A particle of mass 0.20 kg moves with simple harmonic motion of amplitude 2.0 × 10–2m.

If the total energy of the particle is 4.0 × 10–5J, what is the time period of the motion?

A
π/4 seconds
B
π/2 seconds
C
π seconds
D
2π seconds

 

Q19. 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?

A
0.025 m s–2
B
00.99 m s–2
C
002.5 m s–2
D
009.8 m s–2

Q20. Two pendulums, P and Q, are set up alongside each other. The period of P is 1.90 s and the period of Q is 1.95 s.

How many oscillations are made by pendulum Q between two consecutive instants when P and Q move in phase with each other?

A
19
B
38
C
39
D
78