The figure at right shows a plane pendulum of lengthI and mass m₂ suspended from a point mass m, thatcan slide without friction along the horizontal trackPQ fixed along the x-axis. The mass m, is attachedto a massless spring of relaxed length d and springconstant k. The other end of this spring is fixed at Pand the moving part of the spring can slide along thetrack PQ without friction. Construct theLagrangian for this system and derive Lagrangianequations of motion in terms of x and 0 degrees offreedom. Find the first integral(s) of motion.Mthanx=0)Qxm₂

The mass m1 is attached with spring in horizontal surface.Mass m2 is connected with mass m1 with a…

Answered: The figure at right shows a plane…

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