Q8: For the system shown in figure (8). R(s) s+5 K C(s) Figure (8) s+6 (s+4)(s +4s +8) A) Draw the root locus. B) Find the value of K and the frequency when the output is pure sine wave with constant amplitude. C) Find the range of K for damping ratios (0 <<0.707).

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Q8: For the system shown in figure (8).
R(s)
s+5
K
C(s)
Figure (8)
s+6
(s+4)(s +4s +8)
A) Draw the root locus.
B) Find the value of K and the frequency when the output is pure sine wave with
constant amplitude.
C) Find the range of K for damping ratios (0<5< 0.707).
D) Prove that the point s= -4.5 is a part of root locus then find the value of K at this
point.
Transcribed Image Text:Q8: For the system shown in figure (8). R(s) s+5 K C(s) Figure (8) s+6 (s+4)(s +4s +8) A) Draw the root locus. B) Find the value of K and the frequency when the output is pure sine wave with constant amplitude. C) Find the range of K for damping ratios (0<5< 0.707). D) Prove that the point s= -4.5 is a part of root locus then find the value of K at this point.
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