1. The differential equations for a suspension system with input displacement (1) are 2+102 + 100z 10w + 100w w + 40w = ż+ 10z + 30u (a) Assume all initial conditions are zero and convert the equations above to Laplace domain (b) Demonstrate that if you solve for W(s) in the first equation and then substitute this expression for W(s) into the 2nd equation, when you solve for Z(s) you get Z(s) = 3000+300s Ls³ +40s² +300s + 3000] 23 (c) What is the transfer function for this system? U(S)
1. The differential equations for a suspension system with input displacement (1) are 2+102 + 100z 10w + 100w w + 40w = ż+ 10z + 30u (a) Assume all initial conditions are zero and convert the equations above to Laplace domain (b) Demonstrate that if you solve for W(s) in the first equation and then substitute this expression for W(s) into the 2nd equation, when you solve for Z(s) you get Z(s) = 3000+300s Ls³ +40s² +300s + 3000] 23 (c) What is the transfer function for this system? U(S)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![1. The differential equations for a suspension system with input displacement (1) are
2+102 + 100z 10w + 100w
w + 40w = ż+ 10z + 30u
(a) Assume all initial conditions are zero and convert the equations above to Laplace domain
(b) Demonstrate that if you solve for W(s) in the first equation and then substitute
this expression for W(s) into the 2nd equation, when you solve for Z(s) you get
Z(s) =
3000+300s
Ls³ +40s² + 300s + 3000]
3
(c) What is the transfer function for this system?
U(S)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ddf3d5-932b-4894-8f26-ae35177bcfda%2Fa6df30c9-d958-4403-9685-010f46b8d447%2Ftyb85jl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The differential equations for a suspension system with input displacement (1) are
2+102 + 100z 10w + 100w
w + 40w = ż+ 10z + 30u
(a) Assume all initial conditions are zero and convert the equations above to Laplace domain
(b) Demonstrate that if you solve for W(s) in the first equation and then substitute
this expression for W(s) into the 2nd equation, when you solve for Z(s) you get
Z(s) =
3000+300s
Ls³ +40s² + 300s + 3000]
3
(c) What is the transfer function for this system?
U(S)
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