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Question: Two bodies of masses m1 = 1.2 kg and m2 = 1 kg are connected by a dashpot (spring and damper) defined by c = 90 N-s/m and k = 110 N/m. The bodies slide on a horizontal surface with friction. The coefficient of static friction is μs = 0.35 and the coefficient of kinematic friction is μk = 0.22. A sinusoidal force f = 0.5 sin(5t) N acts on the body of mass m2. Find a state space model of this mechanical system and determine its time response using Simulink® when nonlinear effects of Coulomb friction are considered.

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