Point-mass Inertia Workbench

How to use Point-mass Inertia Workbench

Keep center-of-mass and inertia arithmetic exact, compare the parallel-axis tensor identity and recompute energy from each point’s cross-product velocity.

1. Use the example as the schema; replace its labels and entered model assumptions.
2. Keep center-of-mass and inertia arithmetic exact, compare the parallel-axis tensor identity and recompute energy from each point’s cross-product velocity.
3. Calculate, inspect the complete witnesses and limitations, then copy or download the JSON report.

Good to know

• 1–200 distinct positive point masses. Decimal-string kilograms, signed meter coordinates and angular-velocity components; each input magnitude at most 1 billion. A reference and omega each have three Cartesian components.
• Discrete masses in a rigid configuration with pure rotation about the fixed reference. No density, mesh, continuous-body fitting, translation velocity, force prediction, principal-axis solver or safe speed/rating. Only radius of gyration uses an approximate square root.
• Local calculation with no upload, input persistence or outside lookup. Model JSON is limited to 30,000 characters and 10,000 values. Decimal quantities are strings with up to six places; count fields use plain JSON integers. Exact fractions are capped at 8,192 bits. The complete JSON output is limited to 1,000,000 characters; approximate numbers preserve their stored values. Unsupported states fail explicitly.