Problem 10: Spin Drift

When a ring is set to roll in a parabolic bowl, interesting motion patterns may arise. Investigate this phenomenon.

I. Phenomenon Demonstration

II. Books, Encyclopedia, Discussion and Forum Posts

III. Research Papers

  • Leine, Remco. (2009). Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion. Archive of Applied Mechanics. 79. 1063-1082. 10.1007/s00419-008-0278-6. 
  • McDonald, Alexander & Mcdonald, Kirk. (2000). The Rolling Motion of a Disk on a Horizontal Plane.
  • Campos, Ignacio & Fernández-Chapou, J & Salas-brito, Alvaro & Vargas, C.. (2006). Sphere rolling on the surface of a cone. European Journal of Physics – EUR J PHYS. 27. 567-576. 10.1088/0143-0807/27/3/011   

  • L pez-Ruiz, R., & Pacheco, A. F. (2002). Sliding on the inside of a conical surface. European Journal of Physics, 23(5), 579–589. https://doi.org/10.1088/0143-0807/23/5/314

  • White, G. D. (2013). On trajectories of rolling marbles in cones and other funnels. American Journal of Physics, 81(12), 890–898. https://doi.org/10.1119/1.4823475 

  • English, L. Q., & Mareno, A. (2012). Trajectories of rolling marbles on various funnels. American Journal of Physics, 80(11), 996–1000. https://doi.org/10.1119/1.4747481

  • Burov, A.A., Shalimova, E.S. Bifurcations of relative equilibria of a heavy bead on a rotating parabolic bowl with dry friction. Mech. Solids 51, 395–405 (2016). https://doi.org/10.3103/S0025654416040038

  • Jalali, Mir Abbas & Sattari Sarebangholi, Milad & Alam, Mohammad-Reza. (2015). Terminal retrograde turn of rolling rings. Physical review. E, Statistical, nonlinear, and soft matter physics. 92. 032913. 10.1103/PhysRevE.92.032913. 

  • Jalali, Mir Abbas & Alam, Mohammad-Reza. (2016). The surprising dynamics of rolling rings. Physics Today. 69. 70-71. 10.1063/PT.3.3089.