The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx' + cx' + kx = f(t), x(0)=x'(0) = 0 m = 1, k=81, c= 18; f(t)=t if 0 ≤t≤8, f(t)= 0 if t> 8 Solve the initial value problem. x(t) = C...
The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx' + cx' + kx = f(t), x(0)=x'(0) = 0 m = 1, k=81, c= 18; f(t)=t if 0 ≤t≤8, f(t)= 0 if t> 8 Solve the initial value problem. x(t) = C...
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing
function. Solve the initial value problem and construct the graph of the position function x(t).
mx'' + cx' +kx = f(t), x(0) = x'(0) = 0
m=1, k=81, c= 18; f(t) = t if 0 ≤ t ≤8, f(t) = 0 if t>8
Solve the initial value problem.
x(t) =
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