Consider the following system as shown in the figure below. Derive the governing differential equation of motion and plot the amplitude and the phase of the masses ( m_{1} ) and ( m_{2} ) with respect to the frequency. Choose ( mathrm{m}_{1}=1 mathrm{Kg} ; mathrm{m}_{2}=2 mathrm{Kg} ; mathrm{k}_{1}=mathrm{k}_{2}=1 mathrm{~N} / mathrm{m} ; mathrm{c}_{1}=mathrm{c}_{2}=0.001 mathrm{~N} mathrm{sec} / mathrm{m} ). The amplitude of the excitation force vector is ( 1 mathrm{~N} ).

Consider the following system as shown in the figure below. Derive the governing differential equation of motion and plot the amplitude and the phase of the masses m1 and m2 with respect to the frequency. Choose m1=1Kg;m2=2Kg;k1=k2=1N/m;c1=c2=0.001Nsec/m. The amplitude of the excitation force vector is 1N