# Simple Harmonic Motion Energy Problem

1. Aug 14, 2013

### SirPlus

1. The problem statement, all variables and given/known data

Derive the equilibrium state of a simple harmonic oscillation and show that the derivative of the maximum displacement is $s^{'}$ = 2 $\sqrt{E}$

2. Relevant equations

F = -k x

3. The attempt at a solution
m a = -k s
$\rightarrow$ m$s^{''}$ = -k s
$\rightarrow$ $s^{''}$ = -ω s

1. The problem statement, all variables and given/known data
I don't know how to obtain the second part of the question, ive tried so many ways and all have failed, PLEASE HELP *IMPORTANT

2. Aug 14, 2013

### voko

The derivative of the maximum displacement with respect to what?

3. Aug 14, 2013

### SirPlus

With respect to time...

4. Aug 14, 2013

### voko

The maximum displacement does not depend on time, it is a constant.