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Probability in Oscillatory motion

  1. Nov 7, 2006 #1
    A Mass is oscillating on a spring, with a normal equation of motion being:
    x(t) = xmax sin(wt)
    Were also given that the energy equation is E = 0.5mv^2 + 0.5mw^2 x^2
    Now, we need to find the probability P(x,deltax) of finding the mass in a small region of size delta x.

    I really have no idea where to get started.
    I understand that the mass will spend the most time at its endpoints, because it moves the slowest then.
    Any idea how to get started?
  2. jcsd
  3. Nov 7, 2006 #2


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    The idea is to take the ratio in phase space of the volume corresponding to x+dx to the total volume.
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