In a damped harmonic oscillator, what effect does increasing the damping coeffic

Practice Questions

Q1
In a damped harmonic oscillator, what effect does increasing the damping coefficient have on the oscillation?
  1. Increases amplitude
  2. Decreases amplitude
  3. Increases frequency
  4. Decreases frequency

Questions & Step-by-Step Solutions

In a damped harmonic oscillator, what effect does increasing the damping coefficient have on the oscillation?
Correct Answer: Amplitude decrease and quicker energy loss.
  • Step 1: Understand what a damped harmonic oscillator is. It is a system that oscillates (moves back and forth) but loses energy over time due to damping.
  • Step 2: Identify what the damping coefficient is. It is a number that represents how much the oscillation is slowed down or damped.
  • Step 3: Recognize that increasing the damping coefficient means making the system lose energy faster.
  • Step 4: Realize that when the damping coefficient is increased, the oscillations will have a smaller amplitude (height) over time.
  • Step 5: Conclude that with a higher damping coefficient, the system will stop oscillating more quickly because it loses energy faster.
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