Question 3. Consider a mass-spring translational mechanical system in series. The spring has a nonlinear characteristics such that the relationship between the spring force and the spring displacement can be described mathematically f.(t) = 3x?. Assume that the applied force is f(t) = 6+ 8f (t), where 8f (t) is a small force about the 6 Newton constant value. Assuming the output to be the displacement of the mass, obtain the state space representation of the system about the equilibrium displacement.
Question 3. Consider a mass-spring translational mechanical system in series. The spring has a nonlinear characteristics such that the relationship between the spring force and the spring displacement can be described mathematically f.(t) = 3x?. Assume that the applied force is f(t) = 6+ 8f (t), where 8f (t) is a small force about the 6 Newton constant value. Assuming the output to be the displacement of the mass, obtain the state space representation of the system about the equilibrium displacement.
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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![Question 3. Consider a mass-spring translational mechanical system in series. The spring has a
nonlinear characteristics such that the relationship between the spring force and the spring
displacement can be described mathematically f.(t) = 3x. Assume that the applied force is
f(t) = 6+ 8f (t), where 8f(t) is a small force about the 6 Newton constant value. Assuming
the output to be the displacement of the mass, obtain the state space representation of the system
about the equilibrium displacement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb25f1d28-f845-4a3f-b3e9-e8112a258a14%2F33dd1440-8519-4043-b682-6af838865233%2Fn8ouy2l_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3. Consider a mass-spring translational mechanical system in series. The spring has a
nonlinear characteristics such that the relationship between the spring force and the spring
displacement can be described mathematically f.(t) = 3x. Assume that the applied force is
f(t) = 6+ 8f (t), where 8f(t) is a small force about the 6 Newton constant value. Assuming
the output to be the displacement of the mass, obtain the state space representation of the system
about the equilibrium displacement.
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