Consider the two-mass model shown in Figure P11.50. Use

Chapter , Problem 11.50

(choose chapter or problem)

Consider the two-mass model shown in Figure P11.50. Use the following numerical values: \(m_1=m_2=1, k_1=1, k_2=4\), and \(c_2=8\).

a. Use MATLAB to obtain the root locus plot in terms of the parameter \(c_1\).

b. Use the root locus plot to determine the value of \(c_1\) required to give a dominant root pair having a damping ratio of \(\zeta=0.707\).

c. Use the root locus plot to determine the value of \(c_1\) required to give a dominant root that is real and has a time constant equal to 4.

d. Using the value of c1 found in part (c), obtain a plot of the unit-step response.

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