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Forced vibrations, resonance and dampingAQA A-Level Physics: Flashcards

What these 13 flashcards ask

  • What is a free vibration?
  • What is a forced vibration?
  • At what frequency does a forced system vibrate in the steady state?
  • When does resonance occur?
  • Why is the amplitude maximum at resonance?
  • How does damping change a resonance curve?
  • What does damping do to the energy of an oscillator?
  • What is critical damping?
  • Give a mechanical example where resonance is a problem.
  • Give an example where resonance is useful.
  • What is the first resonant length of a tube closed at one end?
  • What is the second resonant length of a tube closed at one end?
  • What does Barton's pendulum show?

Exam questions on Forced vibrations, resonance and damping

  1. A child sits on a playground swing. When pushed once and left alone, the swing oscillates freely with a natural frequency of 0.50 Hz. A parent then pushes the swing at regular intervals, applying a small force each time.
    Explain why the amplitude of the swing becomes very large when the parent pushes at 0.50 Hz.2 marks
  2. A pedestrian footbridge has a natural frequency of 2.0 Hz for its vertical oscillations. When a large crowd crossed it on opening day, the bridge began to sway noticeably. Engineers have since fitted dampers containing viscous oil to the underside of the deck.
    Explain how the oil dampers make the bridge safer when large crowds cross it.2 marks
  3. A tuning fork of frequency 512 Hz is held over the open end of a long glass tube that is closed at the bottom by water. The water level can be lowered to change the length of the air column. The speed of sound in air is 340 m s⁻¹ and end effects may be ignored.
    The air column resonates strongly when the length of the column is a certain value. Explain how a stationary wave is formed in the tube and why resonance occurs.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).