Repeat Parts a through c and e of Problem 35 for

Data From Problem 35:

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 + 4) G(s) s(s +1)(s+ 2)(s + 10)