## Tags: oscillation

### All Categories (1-14 of 14)

1. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel

13. 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. 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...