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Overshooting in a critically damped oscillator

  1. Feb 1, 2012 #1
    How can we tell whether a given v0 will cause an oscillator to overshoot the equilibrium? If the velocity high enough, we know the oscillator will overshoot and return to equilibrium. But if v0 is low, the system would act like it came from a point a bit farther out and not overshoot (right?). So how would we figure out which it will be?
  2. jcsd
  3. Feb 1, 2012 #2
    The response to a step of function of any magnitude will be the same shape but scaled to the size of the input step.
  4. Feb 2, 2012 #3
    I don't understand your response at all. Could you clarify?
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