Please answer, thank you so much. A massless spring of length L and spring constant k connects two particles of mass m and M. The system rests on a smooth table and may oscillate and rotate. (a) Determine Lagrange’s equations of motion. (b) What are the generalized momenta associated with any cyclic coordinates?

Please answer, thank you so much. A massless spring of length L and spring constant k connects two particles of mass m and M. The system rests on a smooth table and may oscillate and rotate. (a) Determine Lagrange’s equations of motion. (b) What are the generalized momenta associated with any cyclic coordinates?

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Question

Please answer, thank you so much.

A massless spring of length L and spring constant k connects two particles of mass m and M. The system rests on a smooth table and may oscillate and rotate. (a) Determine Lagrange’s equations of motion. (b) What are the generalized momenta associated with any cyclic coordinates? (c) Determine Hamilton’s equations of motion.

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