Dynamics of Cylindrical and Spherical Objects on a Turntable

Kyeong Min Kim (1, 2) , Donggeon Oh (3, 4) , Junghwan Lee (2) , Young-Gui Yoon (5) , Chan-Oung Park (6)

1 University of Oxford
2 Cheongshim International Academy
3 SNU - Seoul National University [Seoul]
4 Gyeonggi Science High School for the Gifted
5 Chung-Ang University [Seoul]
6 Gachon University

A circular object placed on a rotating turntable demonstrates an interesting motion. Such motion consists of the rolling object exhibiting a spiral motion with increasing radius and the center of the spiral drifting towards the center of the turntable. This paper suggests a novel approach to the dynamics of the motion when the contact between the cylindrical rolling object and the turntable is a line. Under an assumption that the rolling objects contact point with the turntable is quasistatic, this paper approximates a theoretical model to solve for the maximum radius of the spiral orbit and the frequency of such circular motion. The theoretical model will include the effect of various parameters on the motion, such as the coefficient of rolling friction, the coefficient of kinetic friction, the coefficient of pivoting friction, and the geometry of the rolling object.

Domaines: Mécanique des structures [physics.class-ph]; Physique Classique [physics.class-ph]

Kyeong Min Kim, Donggeon Oh, Junghwan Lee, Young-Gui Yoon, Chan-Oung Park. Dynamics of Cylindrical and Spherical Objects on a Turntable. 2018. ⟨hal-01761333⟩