MathLiveParallel axis theorem
It gives the moment of inertia of a body about any axis parallel to a given axis through its centre of mass, equal to the moment of inertia about that centre-of-mass axis plus the mass times the squared perpendicular distance between the two axes. It is widely used in rigid body dynamics, including planar motion.
I = I_{\mathrm{cm}} + m d^{2}What the symbols mean
| moment of inertia about the new axis (kg·m²) | |
| moment of inertia about the parallel axis through the centre of mass (kg·m²) | |
| mass of the body (kg) | |
| perpendicular distance between the two parallel axes (m) |
About this formula
- FieldPhysics
- TopicRigid body dynamics
- LevelUniversity
- Also calledSteiner's theorem, Steiner's parallel axis theorem, moment of inertia about parallel axis, transfer theorem for moment of inertia, rotational inertia parallel axis, Steiner’s theorem
- SourceWikidata Q828284
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