In a damped harmonic oscillator, if the damping coefficient is increased, what h

Practice Questions

Q1
In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the time period of oscillation?
  1. Time period increases
  2. Time period decreases
  3. Time period remains the same
  4. Time period becomes zero

Questions & Step-by-Step Solutions

In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the time period of oscillation?
  • Step 1: Understand what a damped harmonic oscillator is. It is a system that oscillates but loses energy over time due to damping forces.
  • Step 2: Identify what the damping coefficient is. It measures how much the oscillations are reduced over time.
  • Step 3: Recognize that the time period of oscillation is the time it takes to complete one full cycle of motion.
  • Step 4: Learn that increasing the damping coefficient means the system loses energy faster, which affects the amplitude (height) of the oscillations.
  • Step 5: Realize that while the amplitude decreases, the time it takes to complete one cycle (the time period) does not change.
  • Step 6: Conclude that increasing the damping coefficient does not affect the time period of the oscillation.
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