[QUE/CM-02004]

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Set up the Lagrangian for two masses \(M_1,M_2\) tied to ends of an inextensible string passing over a pulley and placed as follows. Both masses are hanging on the two sides of the pulley.( Fig 1(a)). One of the masses \(M_1\) lies on a frictionless horizontal table and the other mass \(M_2\) hangs vertically as in Fig 1(b). One of the masses \(M_1\) lies on a frictionless inclined plane and the other mass \(M_2\) hangs vertically as in Fig 1(c).

Fig1(a)	Fig1(b)	Fig1(c)

4727:Diamond Point