Problem 11: Balls on an Elastic Band

Connect two metal balls with an elastic band, then twist the elastic band and put the balls on a table. The balls will begin to spin in one direction, then in the other. Explain this phenomenon and investigate how the behaviour of such a “pendulum” depends on the relevant parameters.”

I. Phenomenon Demonstration

II. Books, Encyclopedia, Discussion and Forum Posts

III. Research Paper

  • Eichwald, B., Argentina, M., Noblin, X., & Celestini, F. (2010). Dynamics of a ball bouncing on a vibrated elastic membrane. Physical Review E, 82(1). https://doi.org/10.1103/physreve.82.016203 
  • Li, X.; Sun, B.; Zhang, Y.; Dai, Y. Dynamics of Rubber Band Stretch Ejection. Preprints 2021, 2021030294 (doi: 10.20944/preprints202103.0294.v1)
  • Roundy, D. (2013). Exploring the thermodynamics of a rubber band. American Journal of Physics 81, 20. https://doi.org/10.1119/1.4757908
  • Vermorel, R., Vandenberghe,N., Villermaux, E. (2007). Rubber Band Recoil. Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences 463(2079). https://doi.org/10.1098/rspa.2006.1781