IB Physics HL Resonance

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A tutorial sheet of resonance questions from the Engineering Physics option is given below.

  1. An oscillator is subject to no damping. Describe its motion if its natural frequency is 2πœ” and the driving frequency is πœ”.
  2. An oscillator undergoes damped oscillations. Is the frequency of the damped oscillations the same as the undamped oscillations?
  3. An oscillator has a natural frequency πœ” and is subject to a damping acceleration that is proportional to its velocity with a proportionality constant 2k. Write down the condition for (a) damped oscillations (b) critically damped oscillations (c) overdamping.
  4. An oscillator has damping. When the damping is increased does the frequency at which the maximum forced oscillations occur increase or decrease? Give a reason.