Consider the mass-spring-damper system shown below. f b X(s) (a) Calculate the transfer function G(s) %D F(s) (b) Assume m = 1 kg and k = 4 N/m. What value berit will result in a critically damped system? (c) For m 1 kg, k = 4 N/m, and b = berit, derive the step response of the system.

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

Please help me with parts (b) and (c) of finding b critical and the step response of this mechanical system 

 

1. Consider the mass-spring-damper system shown below.
k
f
m
b
X(s)
(a) Calculate the transfer function G(s) =
F(s)
(b) Assume m =
(c) For m
1 kg and k
1 kg, k = 4 N/m, and b = berit, derive the step response of the system.
4 N/m. What value berit will result in a critically damped system?
1
Transcribed Image Text:1. Consider the mass-spring-damper system shown below. k f m b X(s) (a) Calculate the transfer function G(s) = F(s) (b) Assume m = (c) For m 1 kg and k 1 kg, k = 4 N/m, and b = berit, derive the step response of the system. 4 N/m. What value berit will result in a critically damped system? 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Transfer Function
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