Title

Particle Sliding on a Rough Incline

Document Type

Article

Publication Date

5-1-2007

Publication Title

European Journal of Physics

Abstract

We study a particle sliding on a rough inclined plane as an example of a mechanical problem with nonholonomic constraint. The particle is launched in an arbitrary direction so that its motion has both a horizontal and a ‘vertical’ (i.e., up- and downhill) direction. The friction force acts along the instantaneous velocity, so that the horizontal motion and vertical motion depend on each other. We discuss the character of the trajectory in the framework of dimensional analysis: the trajectory is described by a single length scale, and not by two length scales, as is the case for projectile motion. We use elementary methods to find the solutions of the equation of motion and the trajectory.

Original Citation

Zürcher, U. (2007). Particle sliding on a rough incline. European Journal of Physics, 28(3), 529-536.

DOI

10.1088/0143-0807/28/3/015

Volume

28

Issue

3