{
  "annotation_id": "10c7a489-ade6-47bb-b7d5-7f6a3ac93b86",
  "date_created": "2026-03-02T18:01:03.868000Z",
  "date_modified": "2026-03-02T18:01:03.868000Z",
  "file_hash": "d6fda266ff424a2f654d0a0d2f977396effad574d3cfc58b0f6b2483ae5fd17d",
  "private": false,
  "record": {
    "abstract": "The resonant configurations and normal frequencies of a loaded hanging chain\nthat is rotating uniformly about the vertical are examined for theoretical and\nexperimental perspectives. The chain is assumed pinned at both ends, with an\nextra load added to the lower end for stability. The equation of motion for\nthis system is solved and it is shown that the various resonant configurations\nof the chain are described by Bessel functions of order zero. The normal\nfrequencies are obtained and the predictions of the model are compared to\nexperiment. Time-exposure photographs are presented to illustrate the shape of\nthe various normal modes.",
    "arxiv_id": "physics/0510026",
    "authors": [
      "J. -M. Noel",
      "C. Niquette",
      "S. Lockridge",
      "N. Gauthier"
    ],
    "categories": [
      "physics.class-ph",
      "physics.ed-ph"
    ],
    "title": "Natural configurations and normal frequencies of a vertically suspended,   spinning, loaded chain with both extremities pinned",
    "url": "https://arxiv.org/abs/physics/0510026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e3c36d1-41a4-4baa-993c-a98c5fc6def3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}