dorsal/arxiv
View SchemaThe Rolling Motion of a Disk on a Horizontal Plane
| Authors | Alexander J. McDonald, Kirk T. McDonald |
|---|---|
| Categories | |
| ArXiv ID | physics/0008227 |
| URL | https://arxiv.org/abs/physics/0008227 |
Abstract
Recent interest in the old problem of the motion of a coin spinning on a tabletop has focused on mechanisms of dissipation of energy as the angle alpha of the coin to the table decreases, while the angular velocity Omega of the point of contact increases. Following a review of the general equations of motion of a thin disk rolling without slipping on a horizontal surface, we present results of simple experiment on the time dependence of the motion that indicate the dominant dissipative power loss to be proportional to the Omega^2 up to and including the last observable cycle.
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"abstract": "Recent interest in the old problem of the motion of a coin spinning on a\ntabletop has focused on mechanisms of dissipation of energy as the angle alpha\nof the coin to the table decreases, while the angular velocity Omega of the\npoint of contact increases. Following a review of the general equations of\nmotion of a thin disk rolling without slipping on a horizontal surface, we\npresent results of simple experiment on the time dependence of the motion that\nindicate the dominant dissipative power loss to be proportional to the Omega^2\nup to and including the last observable cycle.",
"arxiv_id": "physics/0008227",
"authors": [
"Alexander J. McDonald",
"Kirk T. McDonald"
],
"categories": [
"physics.class-ph"
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"title": "The Rolling Motion of a Disk on a Horizontal Plane",
"url": "https://arxiv.org/abs/physics/0008227"
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