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The characteristic equation of a control system is given by s(s+4)(s2+2s+s) + k(s+1) = 0. What are the angles of the asymptotes for the root loci?

The characteristic equation of a control system is given by s(s+4)(s2+2s+s) + k(s+1) = 0. What are the angles of the asymptotes for the root loci? Correct Answer 60°, 180°, 300°

P-Z = 3 Angle of asymptote = (2q+1)180°/P-Z Hence the angles are 60°, 180°, and 300°.

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