Question: Consider the system shown in Fig. P 5.2 (a). (a) Sketch root loci as (mathrm{K}) varies from 0 to (infty). (b) Find the range of

Consider the system shown in Fig. P 5.2 (a).
(a) Sketch root loci as \(\mathrm{K}\) varies from 0 to \(\infty\).
(b) Find the range of \(\mathrm{K}\) for which system exhibits underdamped and overdamped dynamics.
(c) Find value of \(\mathrm{K}\) for the system to be critically damped.

U s+3 2s - 1 s + K(s + 3) K Y

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