Consider the two-mass model shown in Figure P11.50. Use the following numerical values: m1 = m2 =

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Consider the two-mass model shown in Figure P11.50. Use the following numerical values: m1 = m2 = 1, k1 = 1, k2 = 4, and c2 = 8.
a. Use MATLAB to obtain the root locus plot in terms of the parameter c1.
b. Use the root locus plot to determine the value of c1 required to give a dominant root pair having a damping ratio of ( = 0.707.
c. Use the root locus plot to determine the value of c1 required to give a dominant root that is real and has a time constant equal to 4.
Consider the two-mass model shown in Figure P11.50. Use the

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

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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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