1. A system has the characteristic equation qls) =s+ 4Ks? + (5 + K)s + 10 = 0. The range of K for a stable system is: a) K<0.46 b) K>0.46 c) 0

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1. A system has the characteristic equation
g(s) =+4Ks? + (5+ K)s + 10 = 0.
The range of K for a stable system is:
a) K<0.46
b) K>0.46
c) 0 <K<0.46
d) Unstable for all K
2. Consider the lateral position control system for a landing on aireraft carrier.
Ris)-
Kist03)
s)
(s-2N+ 10s+45)
The range of K for stability is
a) K <260,68
b) 50.06 <K <123.98
c) 100.12 <K <260,68
d) The system is unstable for all K >0
3. Determine the value of K such that roots of characteristic equation given
below lies to the left of the line s =-1. s+10s+18s+K.
a) K>16 and K<9
b) K<16
c) 9<K<16
d) K<9
4. Consider a negative feedback system where G(s) =1/(s+1) and H(s) =K/s(s+2).
The closed loop system is stable for
a) K>6
b) 0<K<2
c) 8<K<14
d) 0<K<6
5. The characteristic equation of a feedback control system is s'+Ks+9s+18.
When the system is marginally stable, the frequency of the sustained
oscillation:
a) I
b) 1.414
c) 1.732
d) 3
6. The characteristic equation of a system is given as s3+25s2+10s+50-0. What is
the number of the roots in the right half s-plane and the imaginary axis
respectively?
a) 1,1
b) 0,0
c) 2,1
d) 1,2
7. The characteristic equation of a system is given as 3s4+10s3+5s2+2=0. This
system is :
a) Stable
b) Marginally stable
c) Unstable
d) Linear
Transcribed Image Text:Choose the correct answer with details 1. A system has the characteristic equation g(s) =+4Ks? + (5+ K)s + 10 = 0. The range of K for a stable system is: a) K<0.46 b) K>0.46 c) 0 <K<0.46 d) Unstable for all K 2. Consider the lateral position control system for a landing on aireraft carrier. Ris)- Kist03) s) (s-2N+ 10s+45) The range of K for stability is a) K <260,68 b) 50.06 <K <123.98 c) 100.12 <K <260,68 d) The system is unstable for all K >0 3. Determine the value of K such that roots of characteristic equation given below lies to the left of the line s =-1. s+10s+18s+K. a) K>16 and K<9 b) K<16 c) 9<K<16 d) K<9 4. Consider a negative feedback system where G(s) =1/(s+1) and H(s) =K/s(s+2). The closed loop system is stable for a) K>6 b) 0<K<2 c) 8<K<14 d) 0<K<6 5. The characteristic equation of a feedback control system is s'+Ks+9s+18. When the system is marginally stable, the frequency of the sustained oscillation: a) I b) 1.414 c) 1.732 d) 3 6. The characteristic equation of a system is given as s3+25s2+10s+50-0. What is the number of the roots in the right half s-plane and the imaginary axis respectively? a) 1,1 b) 0,0 c) 2,1 d) 1,2 7. The characteristic equation of a system is given as 3s4+10s3+5s2+2=0. This system is : a) Stable b) Marginally stable c) Unstable d) Linear
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