SOLVED: Draw the root locus on graph paper for all the four closed-loop systems given below. For each, find the dominant poles with damping ratio ζ = 0.5 and the value of K which gives this value of ζ. R(s) = K(s^2 2s) / (s 3) C(s) = (s^2 4s 5) / (s 3) Figure 1 for ζ = 0.1 R(s) = K(s 3) / (s^2 10s 20) C(s) = (s^2 8s 18) / (s 2) Figure 2 for ζ = 0.2 R(s) = K(s 3) / (s^2 8s 18) C(s) = (s^2 10s 24) / (s 4) Figure 3 for ζ = 0.3 R(s
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