20 Aug 2018 | | Contributor(s):: Jue Wang
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...
22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel
04 Jun 2015 | | Contributor(s):: Brian Winkel
We present a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation. We immediately offer numerical solutions in a computer algebra system (we use Mathematica, but any...