Problem 9. EOM Solution Use the Laplace transform, inverse Laplace transform, and the Cauchy Residue Theorem to find the solution r(t) for the following equation of motion: mi(t) +bi(t) + kx(t) = 10, where m= 1, b = 4, k = 5, x(0) = 1, and (0) = 0.
Problem 9. EOM Solution Use the Laplace transform, inverse Laplace transform, and the Cauchy Residue Theorem to find the solution r(t) for the following equation of motion: mi(t) +bi(t) + kx(t) = 10, where m= 1, b = 4, k = 5, x(0) = 1, and (0) = 0.
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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Problem 9. EOM Solution
Use the Laplace transform, inverse Laplace transform, and the Cauchy Residue Theorem
to find the solution r(t) for the following equation of motion:
where m = 1, b = 4, k = 5, x(0) = 1, and (0) = 0.
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41
Problem 10. EOM Analysis
Using the solution for r(t) found in Problem 9, find the time (tmax) at which the maxi-
mum displacement max occurs and find the value of max.
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