{
  "annotation_id": "4d247e0b-5805-43a4-bceb-96eb164b5cdd",
  "date_created": "2026-03-02T18:00:42.861000Z",
  "date_modified": "2026-03-02T18:00:42.861000Z",
  "file_hash": "9c62279e4ac9e217be268345422601ea89d8e15c68859d64363f5850b6d75b9f",
  "private": false,
  "record": {
    "abstract": "The motion of a hoop hung on a spinning wire provides an illustrative and\npedagogical example of a supercritical bifurcation. Above a certain angular\nvelocity threshold Omega_c, the hoop rises, making an angle theta =\n(Omega-Omega_c)^(1/2) with the vertical. The equation of motion is derived in\nthe limit of a long massless wire, and the calculated steady states are\ncompared to experimental measurements. This simple experiment is suitable for\nclassroom demonstration, and provides an interesting alternative to the\nclassical experiment of the bead sliding on a rotation hoop.",
    "arxiv_id": "physics/0211079",
    "authors": [
      "Frederic Moisy"
    ],
    "categories": [
      "physics.class-ph",
      "physics.ed-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1119/1.1582191",
    "journal_ref": "Am. J. Phys.71 (10), 999-1004 (2003).",
    "title": "Supercritical bifurcation of a hula hoop",
    "url": "https://arxiv.org/abs/physics/0211079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aacc831e-a0c0-4172-af97-adfc4de1e0ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}