14 Jul 2020 | Modeling Scenarios | Contributor(s): Therese Shelton, Brian Winkel
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.
10 Jul 2020 | Modeling Scenarios | Contributor(s): Brian Winkel
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
Laplace One Liner
04 Jul 2020 | General Resources | Contributor(s): Brian Winkel
We offer a short Mathematica file in which we demonstrate the step by step commands for solving a second order, linear, constant coefficient, ordinary differential equation using Laplace Transforms and then we condense the entire set of instructions into one line of code - hence the name one liner.
SCUDEM Judging Rubric
19 Jun 2020 | General Resources | Contributor(s): Brian Winkel
SCUDEM - SIMIODE Challenge Using Differential Equation Modeling is an annual event for student teams around the globe.We post here the Judges Rubric used to score student submissions.
04 Jun 2020 | Modeling Scenarios | Contributor(s): Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.