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4-055-S-ShatterWineGlass
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...
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2008-Witthansen-ExamplesOfDifferentialEquationsInPhysics
28 Nov 2017 | | Contributor(s):: Brian Winkel
Witt-Hansen, Ole. Examples Of Differential Equations In Physics. Article. 29 pp. Source: www.olewitthansen.dk . Accessed 27 November 2017.This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential...
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Morin-Osillations
11 Sep 2017 | | Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in the...
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2011-Shibberu-DEClassNotes
09 Sep 2017 | | Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rose-hulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...
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BobbingObjectInWater
09 Sep 2017 | | Contributor(s):: Brian Winkel
Introduction to Second Order Linear Equations- Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords: buoyancy, bobbing, water,...
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2003-FayGraham-CoupledSpringEquations
08 Sep 2017 | | Contributor(s):: Brian Winkel
Fay, T.H. and S. D. Graham. 2003. Coupled spring equations. Int.J. Math. Educ. Sci. Technol. 34(1): 65-79. ABSTRACT Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described. For the linear model...
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1967-Isrealsson Johnsson-Circumnutations In Helianthus Annuus
08 Sep 2017 | | Contributor(s):: Brian Winkel
Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus. Physiologia Plantarum. 20: 957-976.Abstract:“A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.“The...
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1969-JohnssonIsraelsson-Phase Shift In Geotropical Oscillations
08 Sep 2017 | | Contributor(s):: Brian Winkel
Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study. Physiologia Plantarum. 22: 1226-1237.The paper studies geotropical induced phase-shifts in circumnutations (turning) of Helianthus annus hypocotlys. Theory based on...
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HELM-Workbook19-Differential_Equations
05 Sep 2017 | | Contributor(s):: Brian Winkel
HELM. Workbook 19: Differential Equations. 74 pp. From site http://helm.lboro.ac.uk/Over 50 workbooks are freely available for download a the site. This workbook Workbook 19: Differential equations is a nice mix of examples worked out concerning skills and models. The...
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1-043-S-CoolingUpAndDown
26 Aug 2017 | | Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
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3-101-S-SpringMassFirstTry
22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel