Use MATLAB to obtain the root locus plot of the system

Chapter , Problem 11.45

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Use MATLAB to obtain the root locus plot of the system shown in Figure P11.45 in terms of the variable \(k_2 \geq 0\). Use the values m = 2, c = 8, and \(k_1 = 26\). What is the value of \(k_2\) required to give \(\zeta = 0.707\)?

                                                         

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