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The Bungee Jumper: a simple mathematical model

Exploring the energy transfers as a bungee jumper falls by considering each of the three stores (kinetic, gravitational and elastic) as a function of x and then summing.

Editeur: T³ Europe

Auteur: Ian Galloway

Sujet:  STEM

Tags  Accélération ,  Algèbre ,  Simulations dynamiques ,  Fonctions ,  Raisonnement mathématique ,  Mécanique ,  Modélisation ,  Physique ,  Sharing Inspiration 2019 ,  Calcul stochastique

Exploring the energy transfers as a bungee jumper falls by considering each of the three stores (kinetic, gravitational and elastic) as a function of x and then summing.  Most text books ignore the problem and only consider energy conservation in horizontally oscillating systems as then there are only two stores to consider.  Some texts even state that the vertically oscillating system is too difficult to analyse, but here, using dynamic geometry the solution is easy to see!

Creative Commons license - Attribution

 

More info: creativecommons.org.