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In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
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In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
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In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.
Questions & Step-by-step Solutions
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Q: In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
Solution:
In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.
Steps: 5
Show Steps
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 the energy loss is usually due to friction or resistance in the system.
Step 3: Realize that as the system loses energy, the maximum distance it moves from its resting position (amplitude) gets smaller.
Step 4: Observe that this decrease in amplitude happens gradually over time.
Step 5: Conclude that in a damped harmonic oscillator, the amplitude decreases continuously until the motion eventually stops.
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