Shape catalog

Code-Snippets

curl "https://api.oanor.com/momentofinertia-api/v1/shapes" \
  -H "x-oanor-key: oanor_test_..."

await fetch("https://api.oanor.com/momentofinertia-api/v1/shapes", {
  headers: { "x-oanor-key": "oanor_test_..." }
});

$ch = curl_init("https://api.oanor.com/momentofinertia-api/v1/shapes");
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
$out = curl_exec($ch);

import requests
requests.get(
    "https://api.oanor.com/momentofinertia-api/v1/shapes",
    headers={"x-oanor-key": "oanor_test_..."}
)

Beispiel-Response

Echte Antwort dieses Endpoints, erfasst beim letzten Health-Check.

{
    "data": {
        "note": "All masses in kg, all lengths/radii in m, result in kg·m². Pass shape + mass + the listed params to /v1/shape.",
        "count": 12,
        "shapes": {
            "rod_end": {
                "params": [
                    "mass",
                    "l"
                ],
                "formula": "I = 1/3·m·l² (thin rod about one end, ⊥)"
            },
            "thin_ring": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = m·r² (hoop about central axis)"
            },
            "point_mass": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = m·r² (point mass at distance r)"
            },
            "rod_center": {
                "params": [
                    "mass",
                    "l"
                ],
                "formula": "I = 1/12·m·l² (thin rod about centre, ⊥)"
            },
            "solid_cone": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = 3/10·m·r² (about central axis)"
            },
            "solid_disk": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = 1/2·m·r² (about central axis)"
            },
            "solid_cuboid": {
                "params": [
                    "mass",
                    "a",
                    "b"
                ],
                "formula": "I = 1/12·m·(a²+b²) (about axis through centre, sides a,b ⊥ axis)"
            },
            "solid_sphere": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = 2/5·m·r²"
            },
            "hollow_sphere": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = 2/3·m·r² (thin spherical shell)"
            },
            "solid_cylinder": {
                "params": [
                    "mass",
                    "r"
                ],
                "formula": "I = 1/2·m·r² (about central axis)"
            },
            "hollow_cylinder": {
                "params": [
                    "mass",
                    "r1",
                    "r2"
                ],
                "formula": "I = 1/2·m·(r1²+r2²) (annular, inner r1, outer r2)"
            },
            "rectangular_plate": {
                "params": [
                    "mass",
                    "a",
                    "b"
                ],
                "formula": "I = 1/12·m·(a²+b²) (about centre ⊥ to plate)"
            }
        }
    },
    "meta": {
        "timestamp": "2026-06-05T19:50:31.556Z",
        "request_id": "68d649bb-fb16-4398-9c68-902f2b941cb7"
    },
    "status": "ok",
    "message": "Shape catalog",
 
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