# Homework Help: Question regarding Damped, Driven Harmonic Oscillatis

1. Oct 3, 2007

### Stellar1

1. The problem statement, all variables and given/known data
A mass m moves along the x axis subject to an attractive force given by 17B^2mx/2 and a retarding force given by 3Bmx', where x is the distance from the origine and B is a costant. A driving force given by mAcos(wt), where A is a constant, is applied to the particle along the x-axis. Find the driving frequencies at which the mechanical energy of the forced oscillation is one half of its maximum value.

2. Relevant equations
E=1/2kA(w)^2

I just wanted to run this by you guys. It makes sense to me and I wanted to get external input. I calculated the amplitude of the oscillation with reference to omega and plugged that into the equation (lets call it 1/2kA(w')). What I did next was I derived the energy equation and found a value for w. I then equated 1/2kA(w)^2 with 1/4kA(w')) and solved for w. I ended up having to use the quadratic equation to find it. Does this sound right to you?