Consider the equation s3 + 10s2 + 24s + K = 0 Use the

Chapter , Problem 11.56

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Consider the equation

                                                             \(s^3+10 s^2+24 s+K=0\)

Use the sgrid function to determine if it is possible to obtain a dominant root having a damping ratio in the range \(0.5 \leq \zeta \leq 0.707\), and an undamped natural frequency in the range \(2 \leq \omega_n \leq 3\). If so, use MATLAB to obtain the value of K required to give the largest possible value of \(\zeta \omega_n\) in the ranges stated.

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