Damped Vibrations The displacement of a spring vibrating in damped harmonic motion is given by
Find the times when the spring is at its equilibrium position (y = 0).
The time when the spring is at the equilibrium position.
Answer to Problem 64E
The required time is,
Explanation of Solution
Given:
The displacement of a spring vibrating in damped harmonic motion is given by
Calculation:
Consider,
Note that, if the spring is at its equilibrium position, then the equation (1) becomes,
Here,
Therefore, set
Therefore, the time when the spring is at its equilibrium position is
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