Develop the mathematical model of the given system. Also find the transfer functions,
state model, bode plot and root locus of the system with respective to each output
separately. Find the step responses and performance parameters of all outputs. Also
develop a controller to obtain a desired displacement of mass M3.

fv3 = 1 N-s/m x3(1) fv4 = 1 N-s/m M3 = 1 kg fvs = 1 N-s/m fv = 1 N-s/m M = 2 kg fv = 1 N-s/m 0000 M2=1 kg -f (t) (1)Ix- K = 2 N/m Frictionless -x2(1)