Question:

A model of a spring/mass system is 4x" + e-0.1tx = 0. By

Last updated: 7/31/2022

A model of a spring/mass system is 4x" + e-0.1tx = 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 __ to the point where the spring is incapable of returning the mass, and the spring will simply __