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The mass m1 on a smooth table is connected to the mass m2 which moves only...

The mass m1 on a smooth table is connected to the mass m2 which moves only in the vertical direction by an inextensible L-length rope passing through a hole in the table. Answer the following by ignoring the friction in the system.
a) What are the generalized coordinates of the system. Write the Lagrangian of the system using these coordinates.
b) Find the conservative values of the system.
c) Obtain the equations of motion of the system and discuss what these equations mean.
d) Solve the Lagrange equations. Assume that the masses do not pass through the hole.

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