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Is this simple harmonic motion?

  1. May 13, 2013 #1
    1. The problem statement, all variables and given/known data

    The displacement of a particle along x-axis given by x=A sin^2(wt), where the symbols have their usual meaning. Is the particle motion simple harmonic? also find its time period.


    2. Relevant equations

    simple harmonic eqn iss of the form x=Asin(wt) or x=acos(wt).


    3. The attempt at a solution

    using the identity sin^2(wt)=(1-cos(2wt))/2
    x=A/2(1-cos(2wt)
    then x=A/2-A/2cos(2wt)

    here i get the time period using T=2pi/w as pi/w.
    but i dont know whether its SHM or not.
    thank you for ur help.
     
  2. jcsd
  3. May 13, 2013 #2


    Here you have proved that is an SHM. Only the mean position is not at origin.
     
  4. May 14, 2013 #3
    thanks.
     
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