Concept explainers
To draw:
The Root locus plot of
Answer to Problem 11.1P
The smallest possible time constant is
Explanation of Solution
Given information:
The characteristic equation is given as
Concept Used:
Root locus technique is used to determine the time constant and value of k.
Calculation:
Solving the quadratic equation for finding the roots of the equation:
Separate the terms of
Roots of the given equation is:
Finding the value of sfor
For
Substitute
The two roots are real and equal for
Roots are
For
Roots for
Time constant is
If
For
The smallest possible time constant is
Root locus plot for the equation is:
Conclusion:
The smallest possible time constant is
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Chapter 11 Solutions
System Dynamics
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