Consider two springs that are hung in series from a horizontal support. The top-most spring has a spring constant k1 and equilibrium length L1 and the bottom spring has a spring constant k2 and equilibrium length L2. There is a mass M1 connected to both springs where they meet and a mass M2 connected to the bottom of the lower spring. (a) Find the equilibrium positions of M1 and M2. (b) Find the normal mode frequencies of vertical oscillations of M1 and M2 around this equilibrium point.

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