## Tags: resistance

### All Categories (1-20 of 24)

1. 10 Jul 2020 | | Contributor(s):: Brian Winkel

We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

2. 04 Jun 2020 | | Contributor(s):: Brian Winkel

We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

3. 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...

4. 24 Mar 2020 | | Contributor(s):: Brian Winkel

We are given data on a falling Styrofoam ball and we seek to model this motion.

5. 16 Dec 2018 | | Contributor(s):: Brian Winkel

We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

6. 09 Dec 2018 | | Contributor(s):: Brian Winkel

Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004.  See https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf . Abstract: The parachute problem is a classical first semester differential...

7. 01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli

Modelling falling bodies is discussed using a computer algebra system-calculator and introducing various traditional and elementary methods from calculus as well as  numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

8. 18 Sep 2017 | | Contributor(s):: Brian Winkel

Loyd, Alun L. and Dominik Wodarz.  2006. Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.  Preprint. 21 pp.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread...

9. 12 Sep 2017 | | Contributor(s):: Brian Winkel

Minton, Roland. 1994. A Progression of Projectiles - Examples from Sports. The College Mathematics Teacher. 28(5): 436-442.See https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-progression-of-projectiles-examples-from-sports .There is a progression...

10. 10 Sep 2017 | | Contributor(s):: Brian Winkel

Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth...

11. 09 Sep 2017 | | Contributor(s):: Brian Winkel

Groetsch, C. W. 2017. Hammer and Feather:  Some Calculus of Mass and Fall Time. Mathematics Magazine. 90: 3-7.See https://www.tandfonline.com/doi/abs/10.4169/math.mag.90.1.3 .The paper opens this way,“Does a heavy object fall faster than a lighter one? In 1971 NASA...

12. 17 May 2017 | | Contributor(s):: Brian Winkel

We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

13. 02 Mar 2017 | | Contributor(s):: Brian Winkel

Brauer, F. 1999. What Goes Up Must Come Down. American Mathematical Monthly. 108(5): 437-440.Article Abstract: NONEThis paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum...

14. 01 Mar 2017 | | Contributor(s):: Brian Winkel

Peastrel, M., R. Lynch, and A. Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513.Article Abstract: We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and...

15. 01 Mar 2017 | | Contributor(s):: Brian Winkel

Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444.We quote from the article,“The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . . The goals of the experiment include...

16. 05 Oct 2016 | | Contributor(s):: Brian Winkel

17. 04 Mar 2016 | | Contributor(s):: Brian Winkel

This is a study of modeling a falling object in liquid. We provide a video (in two versions - .mov and .mp4) which will enable you to collect data on a falling object in water to compare with your model and to estimate parameters using data you can collect from the video. VIDEO Version 1 -...

18. 20 Jun 2015 | | Contributor(s):: F. Brauer

Brauer, F. 1999.  What Goes Up Must Come Down.  American Mathematical Monthly. 108(5):  437-440.See https://www.tandfonline.com/doi/abs/10.1080/00029890.2001.11919770 .This paper is a wonderfully general analysis of the following, “It is natural to ask whether a...

19. 20 Jun 2015 | | Contributor(s):: Douglas B. Meade, Allan A Struthers

Meade, Douglas B. and Allan A. Struthers. 1999. Differential Equations in the New Millennium:  The Parachute Problem. International Journal of Engineering Education.  15(6): 417-424.See https://www.ijee.ie/articles/Vol15-6/ijee1097.pdf .Article Abstract: Introductory...

20. 20 Jun 2015 | | Contributor(s):: T. Gruszka

Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444.See https://www.tandfonline.com/doi/abs/10.1080/07468342.1994.11973649 .We quote from the article,“The following experiment involves a balloon, a stopwatch, and a...