# A jumping cylinder on an inclined plane

@article{Gomez2012AJC,
title={A jumping cylinder on an inclined plane},
author={Roberto G'omez and J. J. Hern'andez-G'omez and Vivianne Marquina},
journal={European Journal of Physics},
year={2012},
volume={33},
pages={1359-1365}
}
• Published 29 February 2012
• Physics
• European Journal of Physics
The problem of a cylinder of mass m and radius r, with its centre of mass out of the cylinder’s axis, rolling on an inclined plane that makes an angle α with respect to the horizontal, is analysed. The equation of motion is partially solved to obtain the site where the cylinder loses contact with the inclined plane (jumps). Several simplifications are made: the analysed system consists of an homogeneous disc with a one-dimensional straight line mass parallel to the disc axis at a distance y < r…
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