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## Homework Statement

I have three coupled pendulums: each of identical mass, and hung fromt the ceiling with identical massless rod. They are connected by identical massless springs. [itex]\phi[/itex][itex]_{1}[/itex], [itex]\phi[/itex][itex]_{2}[/itex], and [itex]\phi[/itex][itex]_{3}[/itex] represent their angles from the vertical, hanging position. Find these three angles as a function of time.

## Homework Equations

## The Attempt at a Solution

I started by setting up the Lagrangian, but I'm really not sure where to go from here. Any help?