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Simple Harmonic Motion

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10.1Simple Harmonic Motion

Simple Harmonic Motion Revision Questions

1. A spring attached to the left end of a horizontal platform is pulled by 10 cm when a 80 N pulling force acts on it.

Physics Tutorials: This image provides visual information for the physics tutorial Simple Harmonic Motion

Then, the spring is released and a 2 kg object is attached to the hook. The spring is pulled again by 30 cm and released.

Physics Tutorials: This image provides visual information for the physics tutorial Simple Harmonic Motion

What is the angular frequency of oscillations?

  1. 400 rad/s
  2. 20 rad/s
  3. 800 rad /s
  4. 28 rad/s

Correct Answer: B

2. The equation of a simple harmonic oscillation is

x(t) = 12 × sin (π/6 × t + π/3)

where x is in cm.

Which option below shows the correct values based on the above equation?

  1. Amplitude = 12 cm, Period = 12 s, Phase shift = π/3 rad, Initial position = 6√3 cm
  2. Amplitude = 12 cm, Period = π/6 s, Phase shift = π/3 rad, Initial position = 12 cm
  3. Amplitude = 6 cm, Period = 3 s, Phase shift = 0 rad, Initial position = 6√3 cm
  4. Amplitude = π/6 cm, Period = 12 s, Phase shift = π/3 rad, Initial position = 12 cm

Correct Answer: A

3. A spring oscillates according the equation of SHM

x(t) = 4 × sin⁡(π/2 × t + π/6)

where x is in cm.

What is the velocity and acceleration at t = 2 s?

  1. v = - 2π × 3 m/s, a = - 2 × π2 m/s2
  2. v = π × 3 m/s, a = 1/2 × π2 m/s2
  3. v = - π × 3 m/s, a = 2 × π2 m/s2
  4. v = - π × 3 m/s, a = 1/2 × π2 m/s2

Correct Answer: D

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  2. Oscillations Physics tutorial: Simple Harmonic Motion. Read the Simple Harmonic Motion physics tutorial and build your physics knowledge of Oscillations
  3. Oscillations Revision Notes: Simple Harmonic Motion. Print the notes so you can revise the key points covered in the physics tutorial for Simple Harmonic Motion
  4. Check your calculations for Oscillations questions with our excellent Oscillations calculators which contain full equations and calculations clearly displayed line by line. See the Oscillations Calculators by iCalculator™ below.
  5. Continuing learning oscillations - read our next physics tutorial: Pendulums. Energy in Simple Harmonic Motion

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