TY - JOUR
T1 - Particle Sliding on a Rough Incline
AU - Zurcher, Ulrich
N1 - Zürcher, U. (2007). Particle sliding on a rough incline. European Journal of Physics, 28(3), 529-536.
PY - 2007/5/1
Y1 - 2007/5/1
N2 - 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.
AB - 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.
UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/161
UR - http://stacks.iop.org/EJP/28/529
U2 - 10.1088/0143-0807/28/3/015
DO - 10.1088/0143-0807/28/3/015
M3 - Article
VL - 28
JO - European Journal of Physics
JF - European Journal of Physics
ER -