The block diagram of a control system with feedback is shown in following rhagram.

L E(s) 0---+®-- 1 Y(s)

s2 (s+5) -

I~ s I I I

(a) Construct the root loci of the characteristic equation forK 2 0 when Kt = 0.

(b) Set K = 10, construct the root loci of the characteristic equation for Kt 2: 0.

Problem