3 Masses connected by springs

[b]1. There is a central mass Mc connected by two identical springs of spring constant k to two identical masses Mo.

a) Set up and solve the equations for the two normal modes (the ones in the attached images) in which the masses oscillate along the line joining the centers.

2. Relevant equations

3. The attempt at a solution

I don’t know where to begin. The only examples of coupled mass-spring oscillations I have seen are the ones with 2 masses and 3 springs mounted to immovable walls.


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