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A three-mass system is represented in the figure below. There are f, f2,f3 acting on m, m and m3, respectively. m and m3 are

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A three-mass system is represented in the figure below. There are f, f2,f3 acting on m, m and m3, respectively. m and m3 are connected to fixed walls via springs and dampers. The system starts motion from rest at its equilibrium position. (a) Select proper coordinates. (b) Draw free-body diagrams for the three masses and derive their EOMs. State any assumption if needed. (c) State the EOMs in a matrix form. ki www mi k2 www C2 k3 m2 www f2 m3 ks k4 www CI C3 C4

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