
3040SFirstPassageTime
07 Apr 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

3002SModelsMotivatingSecondOrder
30 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

1122SSpreadPEV
28 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We present data on world sales data of plugin electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to predection as to number of PEVs in the future.

3004SVanderPol
21 Mar 2017  Modeling Scenarios  Contributor(s):: Mark A. Lau Kwan
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a wellknown nonlinear secondorder ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...

1014SDrainingContainers
17 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
We examine the question, ``Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?''

3017SStackedCoffeeFiltersFalling
11 Mar 2017  Modeling Scenarios  Contributor(s):: Brian Winkel
Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered for analysis. Students first form a model using resistance terms. Parameters need to be estimated and models compared.

3110SMilitarySpringMassApplication
25 Feb 2017  Modeling Scenarios  Contributor(s):: Randy Boucher, Ivan Dungan
The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In the first two scenarios, students must compare three different shock absorbers (or shocks) for the trailer....

1037SCommonColdSpread
30 Nov 2016  Modeling Scenarios  Contributor(s):: Richard Corban Harwood
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

1052SSaltWaterTanks
27 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

1058SWaterClocks
26 Nov 2016  Modeling Scenarios  Contributor(s):: Sania Qureshi, Brian Winkel
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...

1140SLeakyBucket
25 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel
We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top of the tank at a constant (or varying) rate.

6040SStruggleForExistence
23 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.

9120SHorizontalBeam
22 Nov 2016  Modeling Scenarios  Contributor(s):: Tiernan Fogerty, Gregg Waterman

1059SContainerShapeFallingWater
22 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.

1090SEmptySphericalTank
12 Nov 2016  Modeling Scenarios  Contributor(s):: Brian Winkel

7010SMultipleDoses
12 Oct 2016  Modeling Scenarios  Contributor(s):: Brian Winkel

3065SUpDown
05 Oct 2016  Modeling Scenarios  Contributor(s):: Brian Winkel

1061SPotatoCooling
05 Oct 2016  Modeling Scenarios  Contributor(s):: Brian Winkel

1110SSnailsInaTidePool
04 Oct 2016  Modeling Scenarios  Contributor(s):: Lisa Driskell, Audrey Malagon

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