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

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question

The mathematical model(NEED A NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE)

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Root Locus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,