Probability in Oscillatory motion

1. Nov 7, 2006

bemigh

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. Nov 7, 2006

quasar987

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