Consider an undamped spring mass system with unit mass and unit spring constant.
ID: 2966016 • Letter: C
Question
Consider an undamped spring mass system with unit mass and unit spring constant. Suppose that the external forces on this spring alternate between a constant positive force (pulling on the spring out) and a constant negative force (pushing the spring in). After some number of pushes and pulls, the external force will remain constant. This can be modeled by y'' + y = fn(t), where (a) Graph f3(t) and f4(t) on the interval (use two separate graphs). (b) For n = 15, solve (1). Plot the solution for . Why does the solution behave like it does? (c) What happens to the solution as n increases? What happens as ? (d) Compare these results with those for the IVP y'' + y = cos(t), y(0) = 0, y'(0) = 0. Why do you think these problems are related?Explanation / Answer
B