Question: Finding root locus for the given block diagram. (a) Find the root locus of the system with respect to the controller gain K. (b) For

Finding root locus for the given block diagram.

R(s) 2s+4 Y(s) K 8+45 Feedback System

(a) Find the root locus of the system with respect to the controller gain K.

(b) For what range of \(K\) is the system stable.

(c) Find the value of the gain \(K\) that will allow the system to have a root at \(s=-1\).

R(s) 2s+4 Y(s) K 8+45 Feedback System

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