Question: Sketch the root locus plot of 3s 2 + cs + 12 = 0 for c 0. What is the smallest possible dominant time

Sketch the root locus plot of 3s² + cs + 12 = 0 for c ≥ 0. What is the smallest possible dominant time constant, and what value of c gives this time constant? What is the value of ω_n if ζ < 1?

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