{
  "annotation_id": "63c3fb78-0966-4107-83ea-02595f921585",
  "date_created": "2026-03-02T18:00:49.889000Z",
  "date_modified": "2026-03-02T18:00:49.889000Z",
  "file_hash": "d0aad20d1ae984026791c67a7ea1d479b0992f9cf4a74001c98f311f6b990bf6",
  "private": false,
  "record": {
    "abstract": "This paper presents some formulae to calculate moments of inertia for solids\nof revolution and for solids generated by contour plots. For this, the symmetry\nproperties and the generating functions of the figures are utilized. The\ncombined use of generating functions and symmetry properties greatly simplifies\nmany practical calculations. In addition, the explicit use of generating\nfunctions gives the possibility of writing the moment of inertia as a\nfunctional, which in turn allows to utilize the calculus of variations to\nobtain a new insight about some properties of this fundamental quantity. In\nparticular, minimization of moments of inertia under certain restrictions is\npossible by using variational methods.",
    "arxiv_id": "physics/0404005",
    "authors": [
      "Rodolfo A. Diaz",
      "William J. Herrera",
      "R. Martinez"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "title": "Using symmetries and generating functions to calculate and minimize   moments of inertia",
    "url": "https://arxiv.org/abs/physics/0404005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ef23dfe-192a-40d2-bfd2-8e483202985a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}