WorksheetsSHM (CIE A-level)
Total questions: 8
Worksheet time: 11mins
The acceleration a of a simple harmonic oscillator is related to its displacement x by the equation a = − 25 x.
What is the frequency of the oscillator?
0.80 Hz
1.3 Hz
4.0 Hz
5.0 Hz
A pendulum is oscillating in air and experiences damping.
Which of the following statements is/are correct for the damping force acting on the pendulum?
1 It is always opposite in direction to acceleration.
2 It is always opposite in direction to velocity.
3 It is maximum when the displacement is zero.
Only 1 and 2
Only 2 and 3
Only 3
1, 2 and 3
An object oscillates with simple harmonic motion.
Which graph best shows the variation of its potential energy E with distance x from the equilibrium position?
A tensile force of 4.5 N is applied to a spring. The spring extends elastically by 3.2 cm.
What is the elastic potential energy of the spring?
0.072 J
0.14 J
2.4 J
14 J
7.1 x 10-3 J
0.188 J
0.99 J
1.26 J
State the meaning of natural frequency.
Radial or circular frequency, measures angular displacement per unit time.
Occur when an oscillating system is driven by a periodic force that is external to the oscillating system.
An oscillation that fades away with time.
Frequency at which object vibrates when free to do so.
A particle of mass m performs SHM with an amplitude a and frequency f.
The total energy of this SHM is
21ma2f2
2ma2f2
2π2ma2f2
4π2ma2f2
Which of the following statements is true for a damped system of oscillation?
The system does not oscillate at its natural frequency.
When resonance takes place, the system does not lose energy.
Damping causes the oscillating frequency to become gradually smaller.
The oscillating amplitude is maximum when forced frequency is almost the same as the natural frequency.
