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--
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
Section: Chapter Questions
Problem 1RQ
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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---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90e84f97-875a-4b5e-83fa-e3f00e969036%2F1cd79233-69a2-4637-a049-2f73167a2808%2F3mqzpym_processed.png&w=3840&q=75)
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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