Solution Found!
All problems refer to the mass–spring
Chapter 4, Problem 13E(choose chapter or problem)
Show that for the underdamped system of Example 3 , the times when the solution curve \(y(t)\) in (33) touches the exponential curves \(\pm \sqrt{7 / 12} e^{-2 t}\) are not the same values of for which the function \(y(t)\) attains its relative extrema.
Equation Transcription:
Text Transcription:
y(t)
+/- sqrt{7/12} e^{-2 t}
y(t)
Questions & Answers
QUESTION:
Show that for the underdamped system of Example 3 , the times when the solution curve \(y(t)\) in (33) touches the exponential curves \(\pm \sqrt{7 / 12} e^{-2 t}\) are not the same values of for which the function \(y(t)\) attains its relative extrema.
Equation Transcription:
Text Transcription:
y(t)
+/- sqrt{7/12} e^{-2 t}
y(t)
ANSWER:
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.