consider the problem of two parrticles of similar mass M connected by a spring constant K12 and further each particle connected to fixed points with springs of constant K. the motion of particles is restricted to the direction along x-axis , so the system has two degrees of freedom X1 and X2 that give the displacement of the masses from their respective equilibrium position see figure below. a) using lagrangain method and calculate the equation  of motion

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consider the problem of two parrticles of similar mass M connected by a spring constant K12 and further each particle connected to fixed points with springs of constant K. the motion of particles is restricted to the direction along x-axis , so the system has two degrees of freedom X1 and X2 that give the displacement of the masses from their respective equilibrium position see figure below. a) using lagrangain method and calculate the equation  of motion. b) determine

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