moment of inertia of a rod about a point is radius of gyration.
moment of inertia of a rod about a point?
radius of gyration
where formula_3 is the mass of the body and formula_2 is the distance from the pivot point formula_51 to the center of mass formula_60.





























moment of inertia of a body is often defined in terms of its "radius of gyration", which is the radius of a ring of equal mass around the center of mass of a body that has the same moment of inertia. the radius of gyration formula_19 is calculated from the body's moment of inertia formula_55 and mass formula_3 as the length





























section::::examples.:compound pendulum.:center of oscillation.
moment of inertia
where formula_219 is the moment of inertia matrix of the system relative to the reference point formula_116.





























this shows that the inertia matrix can be used to calculate the moment of inertia of a body around any specified rotation axis in the body.





























section::::inertia tensor.





























the inertia matrix is often described as the inertia tensor, which consists of the same moments of inertia and products of inertia about the three coordinate axes. the inertia tensor is constructed from the nine component tensors, (the symbol formula_279 is the tensor product)
moment of inertia