The motion of a spring-mass-damper system satisfies the initial value problem: d²x hdx +bu + kx = F, dt? x(0) = 0; x(0) =1 dt Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the system? (b). Is this system under damping or critical damping or over damping? Explain it. (c). Solve the given initial value problem. (d). The location of poles of X(s) affects the behavior of the system. How to choose parameters b/m and k/m so that the poles are placed at -4±4j?

The motion of a spring-mass-damper system satisfies the initial value problem: d²x hdx +bu + kx = F, dt? x(0) = 0; x(0) =1 dt Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the system? (b). Is this system under damping or critical damping or over damping? Explain it. (c). Solve the given initial value problem. (d). The location of poles of X(s) affects the behavior of the system. How to choose parameters b/m and k/m so that the poles are placed at -4±4j?

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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