Question: Two pendula of the same mass and length l whose shafts are attached to each other by a massless spring whose rest length is equal

 Two pendula of the same mass and length l whose shafts

Two pendula of the same mass and length l whose shafts are attached to each other by a massless spring whose rest length is equal to the distance between them a) Solve the equations of motion of this system in the timists limits of small displacements (Find the equation of motion) [6] b) Derive the Lagrangian of the system. [8]

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