# 3 body problem in 1D

1. Aug 19, 2007

### macrosshkli

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

if 3 identical objects with mass m are conneted by springs of spring constant k, moving in 1D. At t=0, the masses are at rest at their equilibrium. position. Mass A is then subjected to an external force.

A -> B -> C

Where A, B, C are the masses and -> represents the springs.

Calculate the motion of mass C.

2. Relevant equations

$$F(t) = F_{0}cos \omega t$$ (t > 0)

3. The attempt at a solution

The two body problem is easy to solve. (i.e. For A and B). But, i'm confused on how to incorporate mass C into the motion from A and B. Can anyone give me some tips on how to tackle this?