Two objects with equal mass m are connected by three springs with spring constantk as shown below.The positions of each object, r, and y, are measured relative to their respective equilibrium positions.(Show that the potential energy of this system is U = k(a? – ry + y*).Write down the Lagrangian for this system and use it to find the equations of motion(a)(b)for r and y. Do not try to solve these equations.Possibly useful integration tip: An integral of the formAapcan be solved with the substitution A =r cos u and integrating with respect to u.

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Answered: Two objects with equal mass m are…

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