Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
PROBLEM: Represent the translational mechanical system shown in Figure 3.15 in state space about the equilibrium displacement. The spring is nonlinear, where the relationship between the spring force, f,(t), and the spring displacement, x,(t), is f,(t) = 2x(t). The applied force is f(t) = 10+ f (t), where of(t) is a small force about the 10 N constant value. Assume the output to be the displacement of the mass, x(t).

PROBLEM: Represent the translational mechanical system shown in Figure 3.15 in state space about the equilibrium displacement. The spring is nonlinear, where the relationship between the spring force, f,(t), and the spring displacement, x,(t), is f,(t) = 2x(t). The applied force is f(t) = 10+ f (t), where of(t) is a small force about the 10 N constant value. Assume the output to be the displacement of the mass, x(t).

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
Please solve the following question. Note that the second picture is the solution of the question from the book, I just want to know the steps to reach it.
ent Exercise 3.5 1 kg PROBLEM: Represent the translational mechanical system shown in Figure 3.15 in state space about the equilibrium displacement. The spring is nonlinear, where the relationship between the spring force, f,(t), and the spring displacement, x,(t), is f,(t) = 2x(t). The applied force is f(t) = 10+ f (1), where of(t) is a small force about the 10 N constant value. x(1) Assume the output to be the displacement of the mass, x(t). ANSWER: f(1) 0 1 x= x+ -4√5 of (t) ear translational Skill-Assessment y = [10]x The complete solution is located at www.wiley.com/college/nise.
Transcribed Image Text:ent Exercise 3.5 1 kg PROBLEM: Represent the translational mechanical system shown in Figure 3.15 in state space about the equilibrium displacement. The spring is nonlinear, where the relationship between the spring force, f,(t), and the spring displacement, x,(t), is f,(t) = 2x(t). The applied force is f(t) = 10+ f (1), where of(t) is a small force about the 10 N constant value. x(1) Assume the output to be the displacement of the mass, x(t). ANSWER: f(1) 0 1 x= x+ -4√5 of (t) ear translational Skill-Assessment y = [10]x The complete solution is located at www.wiley.com/college/nise.
Nonlinear x(t) Spring -m 1 kg f(t) Represent the translational mechanical system shown above in state space about the equilibrium displacement xo = √5. The spring is nonlinear, where the relationship between the spring force fs, and the spring displacement, x, is fs The applied force is f(t) 10+ Sf (t), where 8f (t) is a small force about the 10 N constant value. Assume the output to be the displacement of the mass, x(t). = = 2x².
Transcribed Image Text:Nonlinear x(t) Spring -m 1 kg f(t) Represent the translational mechanical system shown above in state space about the equilibrium displacement xo = √5. The spring is nonlinear, where the relationship between the spring force fs, and the spring displacement, x, is fs The applied force is f(t) 10+ Sf (t), where 8f (t) is a small force about the 10 N constant value. Assume the output to be the displacement of the mass, x(t). = = 2x².
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Forced Undamped 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
SEE MORE TEXTBOOKS