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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
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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.
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