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The following mass-and-spring system has stiffness matrix K. The system is set in motion from rest (x1 '(0) = x2'(0) = 0) in its equilibrium

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The following mass-and-spring system has stiffness matrix K. The system is set in motion from rest (x1 '(0) = x2'(0) = 0) in its equilibrium position (x1 (0) = le) = 0) with the given external forces F1 (t) = 0 and F2(t)=1173 cos 5t acting on the masses m1 and m2, respectively. Find the resulting motion of the system and describe it as a superposition of oscillations at three different frequencies. K _ (k1 + k2) k2 k, :2 k2 ' (k2 + k3) m1=1,m2=z;k1 =2,k2=4,k3=4 Find the resulting motion of the system. x41) = x2(t) = (Type exact answers, using radicals as needed.)

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