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Consider two particles m and m. Let m1be confined to move on a circle of radius R in the z=0 plane and centered at

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Consider two particles m and m. Let m1be confined to move on a circle of radius R in the z=0 plane and centered at x=0, y=0. Let m2 be confined to move on a circle of radius R in the z-a plane and centered at x=0, y=0. A massless spring of spring constant C is joining the two particles. Set up the Lagrangian for the system. Set up the equations of constraints. Set up the Lagrange equations using Lagrange multipliers.

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