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1-050-S-BargingAhead
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...
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1-120-S-CircularRollerCoaster
27 Sep 2016 | | Contributor(s):: Kevin S Huang
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2020-Beeken, Paul - First Order Differential Equations - AirResistance
26 Mar 2020 | | Contributor(s):: Brian Winkel
Beeken-FirstOrderDifferentialEquations-AirResistanceBeeken, 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...
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3-064-S-GearTrain
31 Aug 2019 | | Contributor(s):: Lukasz Grabarek
In this scenario students will model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components. Students should have some...