For the unity feedback system shown in Figure P8.3, where do the following: a. Sketch the root locus. b. Find the j-axis crossing and the

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

do the following:

a. Sketch the root locus.

b. Find the jω-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.

K(s + 2)(s +3) (s2 + 2s +2)(s+ 4)(s+ 5)(s + 6) G(s) = %3D