Question: Sketch the root locus for open-loop transfer function [ mathrm{G}(mathrm{s}) mathrm{H}(mathrm{s})=frac{mathrm{K}left(s^{2}+4ight)}{s(s+2)} ] Calculate the value of (mathrm{K}) at (a) Break away point (b) (s=-0.7 pm

Sketch the root locus for open-loop transfer function

\[
\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{\mathrm{K}\left(s^{2}+4ight)}{s(s+2)}
\]

Calculate the value of $\mathrm{K}$ at
(a) Break away point
(b) $s=-0.7 \pm j 0.9$.

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