Rolling as a frictional equilibration of translation and rotation

Abstract

In this paper we discuss the role of static and kinetic friction in the dynamics of rolling motion. First, the role of kinetic friction in bringing about and maintaining an equilibration, called free rolling, between the translational and rotational motions of a rigid disc on a rigid surface is briefly discussed. We then extend the discussion to real wheels and provide a physical origin of rolling friction by introducing a new concept, quasi-rolling, to explain how pure rolling can exist even in the presence of some sliding. Our treatment is specifically applicable to rolling motion between two hard surfaces, such as ball- and roller-bearings.

Adhesion Characterization Based on Rolling Resistance of Individual Microspheres on Substrates: Review of Recent Experimental Progress

“…Also in [4], rolling of a sphere is considered as a continuous collision and the expression for rolling friction is developed based on the linearization of the coefficient of restitution. The rolling resistance force and the friction coefficient were formulated based on the normal reaction force and the shift in the point of application of the pressure differential due to rolling [5]. However, the theories proposed in [3][4][5] consider no effect of adhesion between the particle and the substrate.…”

“…The rolling resistance force and the friction coefficient were formulated based on the normal reaction force and the shift in the point of application of the pressure differential due to rolling [5]. However, the theories proposed in [3][4][5] consider no effect of adhesion between the particle and the substrate. Also, these theories can only be used to study the rolling after the motion is initiated.…”

Angular and linear acceleration in a rigid rolling body: students misconceptions

“…According to this theory, in order to help students to overcome their misconceptions it is necessary to introduce examples that question their previous mental models [14]. As we have already mentioned, it is frequently the case that our physics students believe that the equations (5) and (6) are valid for any disc that is rolling without slipping. However, these expressions are not valid in some particular cases.…”

“…The three first examples proposed try to show to the student the limitations and conditions of applicability of the equations (5) and (6). The third and fourth examples illustrate the kinematic relationships between several points of the same rigid body,consequently reinforcing the concepts previously acquired.…”

“…The topic of the dynamics in a rigid body is very important in the curriculum of future engineers. Due to the complexity of the subject, some aspects of it, such as energetic matters or frictional forces, have been treated in previous papers [1][2][3][4][5]. This paper is limited to the case of general plane movement, in which all the particles in the rigid body move in fixed planes; these planes are all parallel to the frame of reference.…”