8.Two masses, m and M, are connected by a string of length { that passes (frictionlessly)through a hole in a table. That is, one mass slides without friction on the table, whereasthe other hangs vertically below the table. Write the Lagrangian and find the equationsof motion, constants of the motion, etc.a. Under what initial conditions does the system exhibit stableoscillations?b. . ] Provide a qualitative physical explanation for this phenomenon, interms of forces, conservation laws, and so forth.

Let mass m be in the table and mass M be hanging vertically. The co-ordinates describing mass m is…

Answered: 8. Two masses, m and M, are connected…

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