For the shown system, Use the Routh criterion to determine the range of stability relative to the gain K. Note that Kis always positive K>0. Type a, b, c, d, e or f R(s) C(s) K(s - 2)(s – 1) s3 + 4s2 + 6s + 4 a) 0 < K < 1.57 b) K > 4 c) 1< K < 2 d) K > 1.57 e) 4

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter29: Service-entrance Calculations
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R+ LS
RLS + 1
RLS
out
Answer:
e
For the shown system, Use the Routh criterion to determine the range of stability relative to the gain K. Note that K is
always positive K>0. Type a, b, c, d, e orf
R(s)
C(s)
K(s – 2)(s – 1)
s3 + 4s2 + 6s + 4
a) 0 < K < 1.57
b) K > 4
c) 1 <K < 2
d) K > 1.57
e) 4 < K < 6 not stable for any K
Answer:
Giving that the input to the shown system is f(t) = cos(wt) and the output is the displacement y(t), determine Y(s). Hint:
Start by getting the transfer function Y(s)/F(s).
b.
ww
EN ?
9:59
4/19/
Transcribed Image Text:R+ LS RLS + 1 RLS out Answer: e For the shown system, Use the Routh criterion to determine the range of stability relative to the gain K. Note that K is always positive K>0. Type a, b, c, d, e orf R(s) C(s) K(s – 2)(s – 1) s3 + 4s2 + 6s + 4 a) 0 < K < 1.57 b) K > 4 c) 1 <K < 2 d) K > 1.57 e) 4 < K < 6 not stable for any K Answer: Giving that the input to the shown system is f(t) = cos(wt) and the output is the displacement y(t), determine Y(s). Hint: Start by getting the transfer function Y(s)/F(s). b. ww EN ? 9:59 4/19/
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