Author(s)

Haiduke Sarafian¹, Nanaz Lobe²

¹The Pennsylvania State University, University College, York, PA, USA.
²Merck & Co., Inc., Kenilworth, NJ, USA.

A solid ball of mass m, size r and spin ω about an axis through its center is dropped freely from a height h on a rough horizontal plane. Assuming its angular momentum is parallel to the horizontal plane upon impact it bounces repeatedly drifting on a vertical plane. We analyze the kinematics of the bouncing ball assuming the impacts are semi-elastic without slipping. By varying the spin and relevant parameters, a robust Mathematica [1] program enables simulating the trajectories.

Bouncing Spinning Ball, Linear Impulse, Angular Impulse, Computer Algebra System, Mathematica

Sarafian, H. and Lobe, N. (2017) Angular Impulse and Spinning Bouncing Ball. World Journal of Mechanics, 7, 177-183. doi: 10.4236/wjm.2017.77016.