For the unity feedback system shown in Figure

Chapter 8, Problem 35

(choose chapter or problem)

For the unity feedback system shown in Figure P8.3, where

G(s) = \(\frac{K(s+2)(s+3)}{\left(s^2+2 s+2\right)(s+4)(s+5)(s+6)}\)

do the following: [Section: 8.7]

a. Sketch the root locus.

b. Find the j \(\omega\)-axis crossing and the gain, K, at the crossing.

c. Find all breakaway and break-in points.

d. Find angles of departure from the complex poles.

e. Find the gain, K, to yield a damping ratio of 0.3 for the closed-loop dominant poles.