# 2 Masses with One Spring

1. Oct 12, 2010

### WorkIsNotAVec

1. The problem statement, all variables and given/known data
This is my first time using this forum so I'll try to start this off right.
The question is this : Two masses, one 100 g and the other 200 g are attached via an ideal spring with spring constant k = 0.5 N/m. The system is slid along a frictionless horizontal surface, find the period of oscillation.

2. Relevant equations
F=-kx
x(t)=Acos(wt - $$\phi$$)
Fnet=ma
Not sure what else.

3. The attempt at a solution
I know that after the initial compression/stretch each spring will be displaced by x, and the total displacement will have been 2x. So the equation of motions for the two masses would be:
x1(t) = xcos(w1t)
x2(t) = xcos(w2t)
And I can find the individual angular frequencies w1 and w2, but I don't understand how to go on from here to find the frequency of it as a whole.