Question: An electromechanical closed-loop control system has the following characteristic equation [ s^{3}+6 mathrm{~K} s^{2}+(mathrm{K}+2) s+8=0 ] where (mathrm{K}) is the forward gain of the system.
An electromechanical closed-loop control system has the following characteristic equation
\[
s^{3}+6 \mathrm{~K} s^{2}+(\mathrm{K}+2) s+8=0
\]
where \(\mathrm{K}\) is the forward gain of the system. The condition for closed-loop stability is
(a) \(\mathrm{K}=0.528\)
(b) \(\mathrm{K}=2\)
(c) \(\mathrm{K}=0\)
(d) \(\mathrm{K}=-2.528\)
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