PROBLEM 13E

All problems refer to the mass–spring configuration depicted in Figure 4.1, page 153.

Show that for the underdamped system of Example 3, the times when the solution curve y(t)in (33) touches the exponential curves are not the same values of t for which the function y (t) attains its relative extrema.

Solution:

Step 1:

In this question it is required to show that the times when the solution curve in equation (33) touches the exponential curves are not same as the values of for which the function attains its relative extrema.