Automotive Suspension: harmonic oscillator system, differential equations

1. Dec 8, 2009

clarineterr

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

You are working at a company that designs suspension systems. Some guy from the marketing department asks you to design a shock absorber that "bounces twice", meaning that after the initial bump, the spring should expand, compress, expand again and then gradually settle back to rest.

Describe the position graph of this situation.

Explain briefly why such behavior is impossible, if you are using a harmonic oscillator to model the suspension system

Suggest a choice for a harmonic oscillator that would approximate this behavior.

2. Relevant equations

3. The attempt at a solution
The graph is sinusoidal, goes through two positive peaks and then levels out. I need help explaining why it is impossible...but it guess its basically that the spring will never actually stop oscillating? I have no idea how to approximate this behavior.