For the unity feedback system shown in Figure P8.3, wheredo the following:a.

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

do the following:

a. Sketch the root locus.

b. Find the range of gain, K, that makes the system stable.

c. Find the value of K that yields a damping ratio of 0.707 for the system’s closed-loop dominant poles.

d. Find the value of K that yields closed-loop critically damped dominant poles.