13. Suppose that the mass in a mass-spring-dashpot system with m = 10, c = 9, and k = 2 is set in motion with x (0) = 0 and x'(0) = 5. (a) Find the position func- tion x(t) and show that its graph looks as indicated in Fig. 5.4.14. (b) Find how far the mass moves to the right before starting back toward the origin. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Diff. EQ.

13. Suppose that the mass in a mass-spring-dashpot system
with m = 10, c = 9, and k = 2 is set in motion with
x (0) = 0 and x'(0) = 5. (a) Find the position func-
tion x(t) and show that its graph looks as indicated in
Fig. 5.4.14. (b) Find how far the mass moves to the
right before starting back toward the origin.
%3D
Transcribed Image Text:13. Suppose that the mass in a mass-spring-dashpot system with m = 10, c = 9, and k = 2 is set in motion with x (0) = 0 and x'(0) = 5. (a) Find the position func- tion x(t) and show that its graph looks as indicated in Fig. 5.4.14. (b) Find how far the mass moves to the right before starting back toward the origin. %3D
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