Use MATLAB to obtain the root locus plot of the model mx +

Chapter , Problem 13.45

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Use MATLAB to obtain the root locus plot of the model \(m \ddot{x}+\left(c_1+c_2\right) \dot{x}+k x=c_2 \dot{y}\) in terms of the variable \(c_2 \geq 0\). Use the values \(m=2, c_1=8, k=26\). What is the smallest possible dominant time constant and the associated value of \(c_2\) ?

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