The mathematical model of a system is given as 12 ² + 2 = 2.5+ +2=2.5+4x - 7y, where y denotes the output of the system and x denotes the input dt² Which one is the transfer function of the system, and which input x(t) causes resonance? 2.5s + 4 O A. H(s) = 12s² + 2s + 7 x(t) = Acos(0.7592t - p) 12s² +2s + 7 B. H(s) = 2.5s + 4 x(t) = Ae-0.0833t cos(0.7592t - 4) C. H(s) x(t) = Ae-0.75t = 12s² + 2s + 7 2.5s + 4 2.5s + 4 D. H(s) = 12s² + 2s +7 x(t) = Ae-0.0833t cos(0.7592t - 4) O E. H(s) = x(t) = Ae-16t 12s² +2s - 7 2.5s + 4 = G. H(s) F. H(s) x(t) = Ae-0.7592t 12s²+2s - 7 2.5s + 4 2.5s + 4 12s² + 2s + 7
The mathematical model of a system is given as 12 ² + 2 = 2.5+ +2=2.5+4x - 7y, where y denotes the output of the system and x denotes the input dt² Which one is the transfer function of the system, and which input x(t) causes resonance? 2.5s + 4 O A. H(s) = 12s² + 2s + 7 x(t) = Acos(0.7592t - p) 12s² +2s + 7 B. H(s) = 2.5s + 4 x(t) = Ae-0.0833t cos(0.7592t - 4) C. H(s) x(t) = Ae-0.75t = 12s² + 2s + 7 2.5s + 4 2.5s + 4 D. H(s) = 12s² + 2s +7 x(t) = Ae-0.0833t cos(0.7592t - 4) O E. H(s) = x(t) = Ae-16t 12s² +2s - 7 2.5s + 4 = G. H(s) F. H(s) x(t) = Ae-0.7592t 12s²+2s - 7 2.5s + 4 2.5s + 4 12s² + 2s + 7
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Transcribed Image Text:The mathematical model of a system is given as
12d²+2 = 2.5dx + 4x - 7y, where y denotes the output of the system and x denotes the input.
dy
dt
Which one is the transfer function of the system, and which input x(t) causes resonance?
2.5s + 4
12s² + 2s + 7
x(t) = Acos(0.7592t - p)
OA. H(s):
=
12s² + 2s +7
2.5s + 4
3t cos(0.7592t - 4)
B. H(s) =
x(t) = Ae-0.0833t
OC. H(s) =
x(t)
12s² + 2s + 7
2.5s + 4
= Ae-0.75t
2.5s + 4
D. H(s) :
12s² + 2s +7
x(t) = Ae-0.0833t cos(0.7592t - 4)
OE. H(s) =
x(t) = Ae-1.6t
12s² +2s - 7
2.5s + 4
-
F. H(s)
x(t) = Ae-0.7592t
G. H(s) =
12s²+2s - 7
2.5s + 4
2.5s + 4
12s² + 2s + 7
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