7.6 Driven Harmonic Motion and Resonance

    Cards (79)

    • Driven harmonic motion causes systems to oscillate at their natural frequency.
      False
    • What determines the actual oscillation frequency of a driven system?
      Driving frequency
    • Resonance occurs when the driving frequency matches the system's natural frequency.
    • Why is the amplitude of oscillation greatest at resonance?
      Driving force is in sync
    • Steady-state motion occurs when the system oscillates at the driving frequency.

      True
    • During steady-state motion, the system is synchronized with the driving force.
    • The driving frequency is the frequency of the external force applied to an oscillating system.

      True
    • What is a driving force in the context of oscillating systems?
      External periodic force
    • What determines the actual oscillation frequency of a driven system?
      Driving frequency
    • Resonance occurs when the driving frequency matches the natural frequency
    • When the driving frequency is less than the natural frequency, the amplitude of oscillation is relatively low
    • Steady-state motion occurs when the system oscillates at the driving frequency.

      True
    • What is the natural frequency of an oscillating system?
      Frequency without external forces
    • The natural frequency determines how the system vibrates on its own.

      True
    • At resonance, the amplitude of oscillation is maximized
    • What is driven harmonic motion in an oscillating system?
      Motion under external force
    • What is the natural frequency of a system?
      Frequency without external forces
    • The driving frequency determines the actual oscillation frequency of the driven system.

      True
    • Resonance occurs when the driving frequency matches the natural
    • What type of motion describes the initial response of an oscillating system to a driving force?
      Transient motion
    • Steady-state motion occurs when an oscillating system reaches equilibrium with the driving force.

      True
    • The forced frequency is the frequency at which an external periodic force is applied
    • Resonance occurs when the driving frequency matches the natural frequency of the system.
      True
    • Resonance occurs when the driving frequency equals the natural
    • What is maximized in resonant systems when the driving frequency matches the natural frequency?
      Energy transfer
    • Musical instruments like guitars exploit resonance to amplify sound.
      True
    • When the driving frequency matches the natural frequency of the system, resonance
    • Resonance occurs when the driving force is in sync with the system's natural vibrations

      True
    • The frequency of the external driving force is called the driving frequency.
    • The driving frequency determines the system's actual oscillation frequency, unlike the natural frequency.
    • What type of motion occurs after the initial transient phase in driven harmonic motion?
      Steady-state motion
    • Match the frequency type with its definition:
      Natural Frequency ↔️ The frequency a system vibrates at without external force
      Forced Frequency ↔️ The frequency imposed by an external periodic force
    • When the driving frequency matches the natural frequency of an oscillating system, the system's amplitude of oscillation is maximized.
    • The resonance frequency is equal to the natural frequency of the system.

      True
    • What determines the amplitude of oscillation in a driven oscillating system?
      Driving frequency and natural frequency
    • Order the following relationships between driving frequency and amplitude of oscillation during resonance:
      1️⃣ Driving frequency < Natural frequency: Relatively low amplitude
      2️⃣ Driving frequency = Natural frequency: Maximum amplitude
      3️⃣ Driving frequency > Natural frequency: Relatively low amplitude
    • Why is energy transfer maximized in resonant systems?
      Driving force aligns with natural vibrations
    • Efficient energy transfer in resonant systems is due to the driving force being in sync with the system's natural vibrations.

      True
    • What is the role of the driving force in resonance?
      Adds energy to the system
    • How is resonance used in earthquake engineering?
      Avoid resonance during earthquakes
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