
2020Beeken, Paul  First Order Differential Equations  AirResistance
26 Mar 2020  Contributor(s):: Brian Winkel
BeekenFirstOrderDifferentialEquationsAirResistanceBeeken, Paul. First Order Differential Equations as applied to Air Resistance. Byram Hills High School.This is a nice and gentle introduction to air resistance modeling.From the Introduction"The problem of air...

3064SGearTrain
31 Aug 2019   Contributor(s):: Lukasz Grabarek
In this scenario students will model an inputoutput mechanical system of gears with a second order, nonhomogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components. Students should have some...

1120SCircularRollerCoaster
27 Sep 2016   Contributor(s):: Kevin S Huang

1050SBargingAhead
10 Feb 2016   Contributor(s):: Timothy Pennings
As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...