Consider the system in Figure here, write the equation of motion and obtain the response equation x(t)=x_H(t)+x_p(t) by assuming x_H(t)=A₁sin(_nt)+A₂cos(_nt), x_p(t)=Xsin(t) and the initial conditions x(0)=0 and v(0)=0. Show your work. The values for springs and mass are k1 = 100 N/m, k2 = 500 N/m and m=89 kg. Plot the response (0 n, =1.1_n

10 sin 10tN 10 sin 10tN