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

Assume, you have an ensemble of linear harmonic oscilators, all having the same frequency [tex]\omega[/tex] and amplitude [tex]a[/tex]:

.

[tex]x = a\cos(\omega t + \phi)[/tex]

The phase [tex]\phi[/tex] is uniformly distributed in the inteval [tex][0,2\pi)[/tex]. What ist the probability [tex]w(x)dx[/tex] to find the displacement of one oscillator in the interval [tex][x,x+dx][/tex]? (for constant [tex]t[/tex])

2. Relevant equations

3. The attempt at a solution

I have looked in all my books and in the internet, but I absolutely have no idea how to start...

A little hint would be great!

(I don't want a solution from you, I just want to know, what formula/concept I have to look at, to have at least a chance to solve this exercise...)

--derivator

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# Homework Help: Uniformly distributed phase of oscillators -> probability for special displacement

Can you offer guidance or do you also need help?

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