A Flipo Flip toy can roll for multiple turns even though its shape is not circular. Investigate how its motion depends on parameters such as geometry and the initial release conditions.
*This Square Can Roll Like a Ball (youtube, The Action Lab, 30.08.2020), https://youtu.be/eZM0WtB3UX8
Amin Rezaeezadeh; Motion of a hexagonal pencil on an inclined plane. Am. J. Phys. 1 May 2009; 77 (5): 401-406. https://doi.org/10.1119/1.3098257
Eckert, Sidney & Ingalls, Phillip & West, J.. (2020). Rolling Polygons with Granular Material down an Incline. 10.48550/arXiv.2005.01545. https://www.researchgate.net/publication/341148751_Rolling_Polygons_with_Granular_Material_down_an_Incline
Beunder, E. M., and Rem, P. C. (March 27, 2003). "The Motion of a Rolling Polygon ." ASME. J. Appl. Mech. March 2003; 70(2): 275–280. https://doi.org/10.1115/1.1481893
Rosen, A. (March 12, 2000). "Modified Lagrange Method to Analyze Problems of Sliding and Rolling ." ASME. J. Appl. Mech. December 2000; 67(4): 697–704. https://doi.org/10.1115/1.1328088
中正大學物理系 門福國 A “Flipo Flip” is a rigid body with a non circular convex edge and a deliberately placed center of mass. When you nudge it on a flat table it rocks and rolls along that edge, trading gravitational potential energy for rotational/translational kinetic energy. If the kinetic energy that survives friction and impacts exceeds the potential barrier between two neighboring “resting orientations,” it completes a flip and keeps going; if not, it stalls. ( ChatGPT
YouTube, The Action Lab, 30.08.2020 https://youtu.be/eZM0WtB3UX8
A very good introduction on the mechanism of how a flipo flip works. The viewer will get a quick grasp on the physics involved in this problem.Before do anything, look up this YouTube film first.
Amin Rezaeezadeh, Am . J. Phys. 77, 401 406 ( 2009)
Sidney Eckert, Phillip Ingalls, and J. West , arXiv:2005.01545