# Average energy of a damped driven oscillator

1. Mar 14, 2017

### Bestphysics112

1. The problem statement, all variables and given/known data
http://imgur.com/a/lv6Uo

2. Relevant equations
Look below

3. The attempt at a solution
I was unsure where to start. I thought that parseval's theorem may be helpful. I know the Potential energy is equivalent to .5kx^2 and T will be the integral of the force. So i have $$<E> = \frac{1}{t} \int_{-t/2}^{t/2}\frac{1}{2}kx^2dt + \frac{1}{t}\int_{-t/2}^{t/2}\sum_{n=1}^{\infty} f_0_n cos(nwt+\phi_n)dt$$

Is this on the right track? If it is, how can i simplify this?

Edit: I can't figure out how to use latex so here is my work so far: http://imgur.com/a/eTigf

Last edited: Mar 14, 2017
2. Mar 19, 2017

### PF_Help_Bot

Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.

3. Mar 20, 2017

### Bestphysics112

After re reading my textbook I was able to get the correct answer

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