12.2. Damping and Resonance

• What happens to the amplitude of oscillations in an underdamped system over time?

  It decreases gradually
• Damping is the process that causes oscillations to decay
• What determines how quickly the oscillations decay in a damped system?

  Damping coefficient
• What type of damping causes oscillations to decay as quickly as possible without overshooting?

  Critically damped
• What happens to the amplitude of oscillations in an underdamped system over time?

  Decreases gradually
• Resonance occurs when the driving frequency matches the natural frequency of a system.

  True
• Free oscillations occur without external driving forces.


  True
• A critically damped system provides the fastest possible return to equilibrium
• What happens to oscillations at resonance?

  Maximum amplitude
• In an undamped system, oscillations continue indefinitely at the natural frequency.


  True
• In a lightly damped system, oscillations decay slowly over time.


  True
• What determines how quickly oscillations decay in a damped system?

  Damping coefficient
• Damping in suspension systems reduces vibrations and ensures stability.

  True
• Understanding damping and resonance is crucial in designing suspension systems and optimizing radio receivers.


  True
• The damping coefficient determines how quickly the oscillations decay
• Match the type of damping with its effect on oscillations:

  Undamped ↔️ Oscillations continue indefinitely

  Lightly Damped ↔️ Oscillations decay slowly

  Critically Damped ↔️ Oscillations decay as quickly as possible

  Heavily Damped ↔️ Oscillations decay very quickly
• What determines how quickly oscillations decay in a damped system?

  Damping coefficient
• Damping is the process that causes oscillations to decay over time.


  True
• Higher damping leads to faster decay of oscillations.


  True
• Critical damping provides the fastest possible return to equilibrium without oscillations.


  True
• Resonance results in oscillations with maximum
• What happens to oscillations in an overdamped system?

  They decay very quickly
• What type of motion occurs in an overdamped system?

  No oscillatory motion
• Resonance is beneficial in musical instruments and radio receivers for enhancing sound and signal reception
• What is the effect of heavily damped oscillations?

  Decay very quickly
• Oscillations in a critically damped system decay as quickly as possible without overshooting
• Higher damping leads to slower decay of oscillations.

  False
• Critically damped systems provide the fastest possible return to equilibrium without any oscillations
• Resonance occurs when the driving frequency matches the natural frequency of the system.


  True
• What are free oscillations affected by?

  Damping coefficient and natural frequency
• Natural frequency is the frequency at which the system naturally oscillates when undamped.


  True
• Order the types of damping from least to most damping:

  1️⃣ Undamped

  2️⃣ Lightly Damped

  3️⃣ Critically Damped

  4️⃣ Heavily Damped
• Higher damping in free oscillations results in faster decay.


  True
• In an undamped system, oscillations continue indefinitely at the natural
• In a critically damped system, the oscillations decay as quickly as possible without overshooting
• What happens to the oscillations in an overdamped system?

  They decay very quickly
• What happens to the amplitude of oscillations if the driving frequency is above the natural frequency?

  Small amplitude
• The damping coefficient determines how quickly oscillations decay
• Resonance allows efficient energy transfer in musical instruments.


  True
• What are free oscillations affected by?

  Damping coefficient and natural frequency