([-a pm j b]) are the complex conjugate roots of the characteristic equation of a second order...
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\([-a \pm j b]\) are the complex conjugate roots of the characteristic equation of a second order system. Its damping coefficient and natural frequency will be respectively:
(a) \(\frac{b}{\sqrt{a^{2}+b^{2}}}\) and \(\sqrt{a^{2}+b^{2}}\)
(b) \(\frac{a}{\sqrt{a^{2}+b^{2}}}\) and \(a^{2}+b^{2}\)
(c) \(\frac{a}{\sqrt{a^{2}+b^{2}}}\) and \(\sqrt{a^{2}+b^{2}}\)
(d) \(\frac{a}{\sqrt{a^{2}+b^{2}}}\) and \(a^{2}+b^{2}\)
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