{
  "annotation_id": "e994e883-bfa2-4ab2-93b6-870ded2521d9",
  "date_created": "2026-03-02T18:01:11.273000Z",
  "date_modified": "2026-03-02T18:01:11.273000Z",
  "file_hash": "e232745f07079f3ba216aedd4bf01760788efc9e0407626c5b64a8e8c0f93344",
  "private": false,
  "record": {
    "abstract": "We examine the dynamics of cylinders that are grooved to form N teeth for\nrolling motion down an inclined plane. The grooved cylinders are experimentally\nfound to reach a terminal velocity. This result can be explained by the\ninclusion of inelastic processes which occur whenever a tooth hits the surface.\nThe fraction of the angular velocity that is lost during an inelastic collision\nis phenomenologically found to be proportional to\n(2*sin^2*pi/N)-(alpha*sin^3*pi/N), and the method of least squares is used to\nfind the constant alpha=0.98. The adjusted theoretical results for the time of\nrolling as well as for terminal velocity are found to be in good agreement with\nthe experimental results.",
    "arxiv_id": "physics/0606254",
    "authors": [
      "Lawrence R. Mead",
      "Frank W. Bentrem"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1119/1.18846",
    "journal_ref": "Am. J. Phys. vol. 66, no. 3, pp. 202-208 (1998)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Almost rolling motion: An investigation of rolling grooved cylinders",
    "url": "https://arxiv.org/abs/physics/0606254"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e38dd00a-6b5b-4b2c-ab7e-b1ecc548a4fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}