(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two masses are connected via a spring. Write the equations of motion, solve them (x(t)), and find the normal mode frequencies.

2. Relevant equations

F=ma

F=-kx

3. The attempt at a solution

I set up two equations:

[tex]F_{1}=ma_{1} , F_{2}=ma_{2}[/tex]

[tex]-k(x_{2}-x_{1})=m\ddot{x_{1}} , k(x_{2}-x_{1})=m\ddot{x_{2}}[/tex]

Then I solved the 2nd force equation for [tex]x_{1}[/tex] and plugged it into the first force equation resulting in:

[tex]-\ddot{x_{2}}=\ddot{x_{1}}[/tex]

I really don't know what to do now... Any help would be greatly appreciated!

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# Coupled Harmonic Oscillator

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