Question: For each system shown in Figure P8.6, make an accurate plot of the root locus and find the following: a. The breakaway and break-in points

For each system shown in Figure P8.6, make an accurate plot of the root locus and find the following: R(s) + K(s + 2)(s + 1) C(s) (s -2)(s-1) System 1

a. The breakaway and break-in points

b. The range of K to keep the system stable

c. The value of K that yields a stable system with critically damped second-order poles

d. The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707

R(s) + K(s + 2)(s + 1) C(s) (s -2)(s-1) System 1 K(s + 2)(s + 1) - 2s + 2) R(s) + C(s) System 2 FIGURE P8.6

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