6. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s² (s + 3) L(s) = G(s)G(s) Using the root locus method, determine the value of K such that the dominant roots have a damping ratio ? = 0.5. a. K = 1.2 b. K = 4.5 C. K = 9.7 d. K = 37.4

6. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s² (s + 3) L(s) = G(s)G(s) Using the root locus method, determine the value of K such that the dominant roots have a damping ratio ? = 0.5. a. K = 1.2 b. K = 4.5 C. K = 9.7 d. K = 37.4

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

6. Consider the control system in Figure 7.62, where the loop transfer function is
K(s² +58 + 9)
s² (s + 3)
L(s) = G(s)G(s)
Using the root locus method, determine the value of K such that the dominant roots
have a damping ratio ? = 0.5.
a. K = 1.2
b. K = 4.5
C. K = 9.7
d. K = 37.4

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