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Homework Help: Overdamped and critically damped oscillator

  1. Sep 30, 2005 #1
    Can you help me start on this one:
    Show that an overdamped or critically damped oscillator can cross the origin at most once.
  2. jcsd
  3. Sep 30, 2005 #2


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    Homework Helper

    Do you have definitions for 'overdamped' and 'critically damped'? If so, then it seems to me a prudent course of action would be to get equations of each and calculate the time it takes to cross the origin. A plot might be helpful also.
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