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Define the equations of motion for the spring-mass system with vibration absorber shown in Fig. 10.1. Using k1=250N/m,m1=10kg, and k2=300N/m determine the proper absorber mass for an excitation of F1(t)=F1sin(t), where F1=10N and =10 rad/s. Assume the system is in static equilibrium at the origins of the coordinate systems for the two masses