E7.3 A unity feedback control system for an automobile suspension tester has the loop transfer function [12]

L(s) Ge(s)G(s) = K(s+3) s2 (s+10) We desire the dominant roots to have the maximum imaginary part value. Using the root locus, show that K=8.67 is required, and the dominant roots are s = -1.5 j1.65.