(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle oscillates with simple harmonic motion along the x-axis with a displacement amplitude, a, and spends a time, dt, in moving from x to x+dx. Show that the probability of finding it between x and x+dx is given by P(x) = dx/(pi(a^2 - x^2)^1/2)

2. Relevant equations

x = asin(wt)

v = wacos(wt)

3. The attempt at a solution

I'm really kind of lost on how to begin this one. I know I have to set up some sort of integral involving the time it takes to go from x to x+dx which would be dt. I know that to get a probability function you've got to normalize the integral. If someone could point me in the right direction, it would be much appreciated.

P.S. I know there is another thread on this, but I started a new one because I don't really understand the other thread. Thanks.

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# Harmonic Probability

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