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Two masses m1 and m2 are attached to two rigid supports by means of springs of force constants k1 and k2 respectively. The masses are connected to a third spring of force constant k3. The masses are free to move along the x-axis, assuming there is no damping. Set up the equations of motion for the system.

My work:

I suppose the third spring is connected in between the two masses.

Equation for first mass is:

[tex]m_1\ddot{x} = -k_1x[/tex]

Equation for second mass is:

[tex]m_2\ddot{x} = -k_2x[/tex]

Now please help me proceed to setup the equation for the 2 connected masses.

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# Coupled Harmonic oscillator problem

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