A model of a spring/mass system is 4x" + e-0.1x = 0. By inspection of the differential equation only, discuss the behavior of the system over a long period of time. For large values of t the differential equation is approximated by x" = 0. The solution of this equation is the linear function x = Thus, for large time, the restoring force will have --Select-- v to the point where the spring is incapable of returning the mass, and the spring will simply --Select--

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A model of a spring/mass system is 4x" + e-U.1x = 0. By inspection of the differential equation only, discuss the behavior of the system over a long period of time.
For large values of t the differential equation is approximated by x" = 0. The solution of this equation is the linear function x =
. Thus, for large time, the restoring force will have --Select-- v to the point where the spring is incapable of returning
the mass, and the spring will simply ---Select---
Transcribed Image Text:A model of a spring/mass system is 4x" + e-U.1x = 0. By inspection of the differential equation only, discuss the behavior of the system over a long period of time. For large values of t the differential equation is approximated by x" = 0. The solution of this equation is the linear function x = . Thus, for large time, the restoring force will have --Select-- v to the point where the spring is incapable of returning the mass, and the spring will simply ---Select---
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