IEVref: 113-03-21 ID: Language: en Status: Standard Term: moment of inertia Synonym1: mass moment of inertia [Preferred] Synonym2: Synonym3: Symbol: JI Definition: for a body and a specified axis, scalar quantity equal to the integral J = ∫D R2 dm = ∫D R2 ρ dV, where ρ is mass density in a domain D with quasi-infinitesimal mass dm and volume dV, and R is the distance between the domain and the axisNOTE 1 For a material point, the moment of inertia is equal to the product of its mass m and the square of its distance R to the axis, thus J = mR2. For a system of particles, it is equal to the sum of their moments of inertia. NOTE 2 In non-relativistic physics, moment of inertia is an additive quantity. NOTE 3 More generally, moment of inertia can be defined for a rigid body as a tensor quantity $\stackrel{\to }{\stackrel{\to }{J}}$, where Jxx = −∫(y2 + z2) dm, cycl., cycl., and Jyz = −∫ yz dm, cycl. cycl. NOTE 4 The moment of inertia is not to be confused with the second axial moment of area and the second polar moment of area. NOTE 5 The coherent SI unit of moment of inertia is kilogram metre squared, kg·m2. Publication date: 2011-04 Source: Replaces: Internal notes: 2014-07-11: Corrected J, I to J
I. JGO 2017-06-02: Cleanup - Remove Attached Image 113-03-21en.gif CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: