Tags: oscillation

All Categories (1-14 of 14)

  1. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

  2. 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...

  3. 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 equation...

  4. 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...

  5. 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...

  6. 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,...

  7. 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...

  8. 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...

  9. 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...

  10. 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...

  11. 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.

  12. 3-101-S-SpringMassFirstTry

    22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel

  13. 1977-MackeyGlass-Oscillation and Chaos in Physiological Control Systems

    26 Jun 2015 | | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark

    Mackey,  Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.Article Abstract: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of...

  14. 9-012-S-PDEGuitarTuning

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We present a derivation of  a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation. We immediately offer  numerical solutions in a computer algebra system (we use Mathematica, but any...

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