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Feb17-12, 05:24 PM
P: 615
If you set [itex]x_1 = x_2 = 0[/itex] as the stationary point on the springs things would look a little neater :3

Your lagrangian looks correct as far as I can see though.
If you chose the nice neat coordinates I suggested you'll get rid of those nasty cots though, I'd suggest you do that first.