Almost Rolling Motion: An Investigation of Rolling Grooved Cylinders
Physics and Astronomy
Mathematics and Natural Sciences
We examine the dynamics of cylinders that are grooved to form N teeth for rolling motion down an inclined plane. The grooved cylinders are experimentally found to reach a terminal velocity. This result can be explained by the inclusion of inelastic processes which occur whenever a tooth hits the surface. The fraction of the angular velocity that is lost during an inelastic collision is phenomenologically found to be proportional to 2 sin2 π/N-α sin3 π/N, and the method of least squares is used to find the constant α=0.98.The adjusted theoretical results for the time of rolling as well as for terminal velocity are found to be in good agreement with the experimental results.
American Journal of Physics
Mead, L. R.,
Bentrem, F. W.
(1998). Almost Rolling Motion: An Investigation of Rolling Grooved Cylinders. American Journal of Physics, 66(3), 202-208.
Available at: https://aquila.usm.edu/fac_pubs/4880