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.
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.
Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter45: The Pn Junction
Section: Chapter Questions
Problem 1RQ
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The motion of a spring-mass-damper system satisfies the initial value problem:
(photo attached)
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 +/- 4 j ?
Transcribed Image Text:d²x
dx
+b + kx = F,
dt?
x(0) = 0; x(0) = 1
m
dt
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