10 questions🇬🇧English

🌀 Simple Harmonic Motion – A-level

Physics · A-level — practises the SHM equations, pendulums, mass-spring systems, damping and resonance

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Questions

Which statement is the defining condition for simple harmonic motion?

Acceleration is constant and towards equilibrium
Acceleration ∝ displacement, directed towards equilibrium
Velocity ∝ displacement, directed towards equilibrium
Acceleration ∝ displacement, directed away from equilibrium
20s

At which point in its motion does an object in SHM have its maximum speed?

Halfway between equilibrium and amplitude
At every point equally
At the equilibrium position
At maximum displacement
20s

Which change increases the period of a simple pendulum swinging with small oscillations?

Decreasing the length of the string
Using a denser bob of the same size
Increasing the mass of the bob
Increasing the length of the string
20s

A system is made to oscillate by a periodic driving force. Resonance occurs when the driving frequency is:

Equal to the natural frequency
Twice the natural frequency
Half the natural frequency
Much lower than the natural frequency
20s

In SHM, what is the phase difference between the acceleration and the displacement?

0 rad
π/4 rad
π rad
π/2 rad
30s

A mass–spring system has a period of 0.80 s. The mass is increased to four times its original value. What is the new period?

0.40 s
3.2 s
1.6 s
1.1 s
30s

An object moves with SHM of amplitude 0.05 m and angular frequency 4 rad s⁻¹. What is its maximum acceleration?

0.80 m s⁻²
3.2 m s⁻²
0.20 m s⁻²
0.40 m s⁻²
30s

Which description matches a critically damped oscillator after it is displaced?

Oscillations with gradually decreasing amplitude
Slow return to equilibrium with no oscillation
Quickest return to equilibrium with no oscillation
Oscillations with constant amplitude
30s

An oscillator in SHM is at displacement x = A/2. What fraction of its total energy is kinetic energy?

¾
½
¼
√3/2
30s

An object in SHM has amplitude 0.10 m and angular frequency 5.0 rad s⁻¹. What is its speed at displacement 0.06 m?

0.30 m s⁻¹
0.20 m s⁻¹
0.50 m s⁻¹
0.40 m s⁻¹
60s