In a damped harmonic oscillator, what happens to the amplitude of oscillation ov

Practice Questions

Q1
In a damped harmonic oscillator, what happens to the amplitude of oscillation over time?
  1. Increases
  2. Decreases
  3. Remains constant
  4. Oscillates

Questions & Step-by-Step Solutions

In a damped harmonic oscillator, what happens to the amplitude of oscillation over time?
Correct Answer: Amplitude decreases over time.
  • Step 1: Understand what a damped harmonic oscillator is. It is a system that oscillates (moves back and forth) but loses energy over time.
  • Step 2: Recognize that oscillation involves moving up and down or back and forth, creating an amplitude, which is the maximum distance from the center position.
  • Step 3: Learn that in a damped system, like a swinging pendulum or a vibrating spring, energy is lost due to factors like friction or air resistance.
  • Step 4: Realize that as energy is lost, the force that keeps the oscillation going becomes weaker.
  • Step 5: Notice that because of this energy loss, the maximum distance (amplitude) the system reaches during each oscillation becomes smaller over time.
  • Step 6: Conclude that the amplitude of oscillation decreases gradually until the system eventually stops moving.
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