# Solving motion of undamped harmonic oscillator

1. Apr 8, 2004

### jlmac2001

The question is: Solve for the motion of the undamped harmonic oscillator with an applied force F, treated in class, when the force is no longer constant but has the form F=F0+kT, where Fo and k are constants. Use the intial conditions x(0)=d and x'(0) =v0.

I'm trying to solve this problem using my notes but I don't see anything like it. What I'm thinking is that I need to find an equation of motion. Something like x(t)=x''+w0^2x=0, x(0)=x''+w0^2x=d, x'(0)=x''+w0^2x=v0. Help me!

2. Apr 8, 2004

You will need to end up with an equation of motion, but you can't start with one. You gotta start with what you know, and all you know is force.

Use

$$F = m\ddot{x}$$

where F is your given applied force. This gives you a differential equation that you must solve.