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A mass-spring-dashpot system with external force f(t) is described by the following differential equation. mx'' + cx' + kx = f(t) 2π m=1, k = 36, c = 0; f(t) is a square-wave function with amplitude 6 and period Under the assumption that x(0)=x'(0) = 0, use a series representation of F(s) to find the transient and steady periodic motions of the mass. Then construct the graph of the position function x(t). If you would like to check your graph using a numerical DE solver, it may be useful to note that the function f(t), shown below, has the value +A if 0

A mass-spring-dashpot system with external force f(t) is described by the following differential equation. mx'' + cx' + kx = f(t) 2π m=1, k = 36, c = 0; f(t) is a square-wave function with amplitude 6 and period Under the assumption that x(0)=x'(0) = 0, use a series representation of F(s) to find the transient and steady periodic motions of the mass. Then construct the graph of the position function x(t). If you would like to check your graph using a numerical DE solver, it may be useful to note that the function f(t), shown below, has the value +A if 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A mass-spring-dashpot system with external force f(t) is described by the following differential equation. mx'' + cx' + kx = f(t) 2п m=1, k = 36, c = 0; f(t) is a square-wave function with amplitude 6 and period 3 Under the assumption that x(0)=x'(0) = 0, use a series representation of F(s) to find the transient and steady periodic motions of the mass. Then construct the graph of the position function x(t). If you would like to check your graph using a numerical DE solver, it may be useful to note that the function f(t), shown below, has the value +Aif 0<t<, the value - A if <t<2, and so forth, and hence agrees on the interval [0,6*] with the square-wave function that has amplitude A and period 2. f(t)=A[2u((t-x)(t-2n)(t-3x)(t-4x)(t-5x)(t-6x))-1] Click the icon to view a short table of Laplace transforms. Solve the initial value problem. x(t) =
Transcribed Image Text:A mass-spring-dashpot system with external force f(t) is described by the following differential equation. mx'' + cx' + kx = f(t) 2п m=1, k = 36, c = 0; f(t) is a square-wave function with amplitude 6 and period 3 Under the assumption that x(0)=x'(0) = 0, use a series representation of F(s) to find the transient and steady periodic motions of the mass. Then construct the graph of the position function x(t). If you would like to check your graph using a numerical DE solver, it may be useful to note that the function f(t), shown below, has the value +Aif 0<t<, the value - A if <t<2, and so forth, and hence agrees on the interval [0,6*] with the square-wave function that has amplitude A and period 2. f(t)=A[2u((t-x)(t-2n)(t-3x)(t-4x)(t-5x)(t-6x))-1] Click the icon to view a short table of Laplace transforms. Solve the initial value problem. x(t) =
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