For each system shown in Figure P8.6, make an accurate plot of the root locus and find

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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

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

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