Consider two particles m and m. Let m1be confined to move on a circle of radius...

Transcribed Image Text:

Consider two particles m₁ and m₂. Let m1be confined to move on a circle of radius R₁ in the z=0 plane and centered at x=0, y=0. Let m2 be confined to move on a circle of radius R₂ 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. Consider two particles m₁ and m₂. Let m1be confined to move on a circle of radius R₁ in the z=0 plane and centered at x=0, y=0. Let m2 be confined to move on a circle of radius R₂ 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.