A root locus for a unity-feedback system is shown in Fig.Q6. Find: v-The gain K so that the system is unstable. 3 Imaginary Axis (seconds) 2.5 2 -1.5 80.5 1.5 0.94 10.985 .5 -1 F0.985 5 0.86 iv- The gain K correspond to = 0.9 0.76 3 0.64 2 0.5 0.34 0.16

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A root locus for a unity-feedback system is shown in Fig.Q6. Find:
v-The gain K so that the system is unstable.
3
Imaginary Axis (seconds)
2.5
2
1.5
0.5
0.5
1.5
-2
-2.5
-3
-6
0.94
10.985.
-10.985
0.94
Fig.Q6
5
0.86
0.86-
-5
4
iv- The gain K correspond to = 0.9
0.76
0.76
3:
0.64
0.64
2:
0.5 0.34 0.16
-3
-2
Real Axis (seconds ¹)
0.5 0.34 0.16
-1
Transcribed Image Text:A root locus for a unity-feedback system is shown in Fig.Q6. Find: v-The gain K so that the system is unstable. 3 Imaginary Axis (seconds) 2.5 2 1.5 0.5 0.5 1.5 -2 -2.5 -3 -6 0.94 10.985. -10.985 0.94 Fig.Q6 5 0.86 0.86- -5 4 iv- The gain K correspond to = 0.9 0.76 0.76 3: 0.64 0.64 2: 0.5 0.34 0.16 -3 -2 Real Axis (seconds ¹) 0.5 0.34 0.16 -1
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