The car's corner mass is m, and the unsprung mass is m₂. The suspension spring stiffness is k, the tire stiffness is k,, and c is the suspension damping coefficient. The car is traveling at speed Von a sinusoidal road surface with amplitude A, and wavelength . Draw free body diagrams for the corner mass and the unsprung mass, derive the system's equations of motion, and put them in vector-matrix form. Notice that up is the positive direction for all the coordinates in this problem. Answer: k 0 2[***¯ {^,.A, sin aut "} -k₂ k₂ + k₂ ot m₂ 0 0 m₂ C -C m₂ 2 k₂ k₁ m₂ www -k₂ 2₂ 2₁ z, (t) = A, sin ot where @= 2&V 2

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
icon
Related questions
Question
The car's corner mass is m, and the unsprung mass is m₂. The suspension spring
stiffness is k, the tire stiffness is k, and c is the suspension damping coefficient. The
car is traveling at speed Von a sinusoidal road surface with amplitude A₁ and
wavelength 2. Draw free body diagrams for the corner mass and the unsprung mass,
derive the system's equations of motion, and put them in vector-matrix form. Notice
that up is the positive direction for all the coordinates in this problem.
Answer:
k₂ -k₂
0
0
Z₁
m₂
[KH[ K**}-{4.A, sin ort
+
0 m2₂
-k₂ k₂ + k₁₂
с
-C с
m₂
+
k₂
k₂
m₂
Z₂
=
N
22₂
12₁
z, (t) = A, sin @t
where @
2+V
2
Transcribed Image Text:The car's corner mass is m, and the unsprung mass is m₂. The suspension spring stiffness is k, the tire stiffness is k, and c is the suspension damping coefficient. The car is traveling at speed Von a sinusoidal road surface with amplitude A₁ and wavelength 2. Draw free body diagrams for the corner mass and the unsprung mass, derive the system's equations of motion, and put them in vector-matrix form. Notice that up is the positive direction for all the coordinates in this problem. Answer: k₂ -k₂ 0 0 Z₁ m₂ [KH[ K**}-{4.A, sin ort + 0 m2₂ -k₂ k₂ + k₁₂ с -C с m₂ + k₂ k₂ m₂ Z₂ = N 22₂ 12₁ z, (t) = A, sin @t where @ 2+V 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Free Damped Vibrations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY