# Driven oscillator with damping

## Homework Statement

The oscillator is driven by a force F(t) = mAcos(wt). Plot the amplitude D of oscillations, in units of the maximum (resonant) amplitude D(max), as a function of w in units of w_0. (In other words, plot D/D(max) versus w/w_0.) Find Q.

$$\beta$$=(1/6)w_0

## Homework Equations

D = A/[sqrt((w_0^2 - w^2)^2 + 4w^2$$\beta$$^2)]

A = (F_0)/m

## The Attempt at a Solution

To start off, is my equation for D correct?

If so, my next question is how do I begin this problem. Is it correct to plug in (1/6)w_0 for the beta in my D equation to get D(max). That way I can divide D by D(max) and get the first part. Or is that completely wrong?

Any help would be greatly appreciated.