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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

  • J. Liu, J. Huang, T. Su, K. Bertoldi, and D. R. Clarke, PLOS ONE 9, e93183 (2014).
  • Li, X.; Sun, B.; Zhang, Y.; Dai, Y. Dynamics of Rubber Band Stretch Ejection. Preprints 2021, 2021030294 (doi: 10.20944/preprints202103.0294.v1)
  • Oratis, Alexandros T., and James C. Bird. “Shooting Rubber Bands: Two Self-Similar Retractions for a Stretched Elastic Wedge.” Physical Review Letters 122, no. 1 (2019). https://doi.org/10.1103/physrevlett.122.014102.
  • P. Kozić and R. Pavlović, Journal of Sound and Vibration 274, 1103 (2004).
  • Roundy, D. (2013). Exploring the thermodynamics of a rubber band. American Journal of Physics 81, 20. https://doi.org/10.1119/1.4757908 
  • Triana, C A, and F Fajardo. “Dependence of Some Mechanical Properties of Elastic Bands on the Length and Load Time.” European Journal of Physics 33, no. 4 (2012): 771–84. https://doi.org/10.1088/0143-0807/33/4/771.
  • 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.
  • X. Moya,N. D. Mathur,Caloric materials for cooling and heating, Science, 370, 6518, (797-803), (2021).