(adsbygoogle = window.adsbygoogle || []).push({}); 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 - [tex]\phi[/tex])

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.

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# 2 Masses with One Spring

Can you offer guidance or do you also need help?

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