How to Solve a Two-Particle Lagrangian Problem with Lagrange Multipliers?

[pkufx]

How to solve this problem?
:
Consider two particles of masses m1 and m2. Let m1 be confined to move on a circle of radius a in the z = 0 plane, centered at x = y = 0. Let m2 be confined to move on a circle of radius b in the z = c plane, centered at x = v = 0. A light (massless) spring of spring constant k is attached between the two particles.

(a) Find the Lagrangian for the system.
(b) Solve the problem using Lagrange multipliers and give a physical interpretation
for each multiplier.

thanks

 

[Chris A]

How to solve this problem?
:
Consider two particles of masses m1 and m2. Let m1 be confined to move on a circle of radius a in the z = 0 plane, centered at x = y = 0. Let m2 be confined to move on a circle of radius b in the z = c plane, centered at x = v = 0. A light (massless) spring of spring constant k is attached between the two particles.

(a) Find the Lagrangian for the system.
(b) Solve the problem using Lagrange multipliers and give a physical interpretation
for each multiplier.

thanks

can any on show me the diagram to illustrate this problem. Thanks