5. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s² (s + 3) L(s) = Gc(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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6. Consider the control system in Figure 7.62, where the loop transfer function is
K(s² + 5s + 9)
s² (s + 3)
L(s) = Gc(s) G(s)
-
SODA
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
Transcribed Image Text:6. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s² (s + 3) L(s) = Gc(s) G(s) - SODA 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
R(s)
+
Controller
G (s)
Process
G(s)
FIGURE 7.62 Block diagram for the Skills Check.
In the corr
Transcribed Image Text:R(s) + Controller G (s) Process G(s) FIGURE 7.62 Block diagram for the Skills Check. In the corr
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