Plot the root loci for the closed-loop control system with G(s)=(K(s+1))/(s^2), H(s)=1 | Numerade

SOLVED: 2- Consider the system shown below. Draw a root-locus diagram, and then determine the value of k such that the damping ratio of the dominant closed loop poles is 0.4. The open loop transfer function is R(s). Notice that the adjustable variable k does not appear as a multiplicative factor. The characteristic equation for the system is s³ 5s² 4s 20 20ks = 0.