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Simple Harmonic Motion Energy Problem

  1. Aug 14, 2013 #1
    1. The problem statement, all variables and given/known data

    Derive the equilibrium state of a simple harmonic oscillation and show that the derivative of the maximum displacement is [itex]s^{'}[/itex] = 2 [itex]\sqrt{E}[/itex]


    2. Relevant equations

    F = -k x


    3. The attempt at a solution
    m a = -k s
    [itex]\rightarrow[/itex] m[itex]s^{''}[/itex] = -k s
    [itex]\rightarrow[/itex] [itex]s^{''}[/itex] = -ω s





    1. The problem statement, all variables and given/known data
    I don't know how to obtain the second part of the question, ive tried so many ways and all have failed, PLEASE HELP *IMPORTANT
     
  2. jcsd
  3. Aug 14, 2013 #2
    The derivative of the maximum displacement with respect to what?
     
  4. Aug 14, 2013 #3
    With respect to time...
     
  5. Aug 14, 2013 #4
    The maximum displacement does not depend on time, it is a constant.
     
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