Sketch the root locus for the system of Figure P8.12 and find the following: a. The range

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Sketch the root locus for the system of Figure P8.12 and find the following:

a. The range of gain to yield stability

b. The value of gain that will yield a damping ratio of 0.707 for the system’s dominant poles

c. The value of gain that will yield closed-loop poles that are critically damped

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