The tensor form of the virial theorem relates the second time derivative of this tensor to the kinetic and potential energy tensors.
The tensor form of the virial theorem relates the second time derivative of this tensor to the kinetic and potential energy tensors. This tensor's largest and smallest eigenvalues correspond to stability, while the intermediate eigenvalue corresponds to unstable motion. In cases where it reduces to a scalar, the period of the torsion pendulum corresponding to it is proportional to the square root of this quantity, which can be expressed as an object's mass times its radius of gyration squared. In some cases, this quantity can be conveniently calculated using the parallel axis theorem. Equal to the angular momentum over the angular velocity, for ten points, name this rotational analogue of mass.
The tensor form of the virial theorem relates the second time derivative of this tensor to the kinetic and potential energy tensors.
{moment of inertia} tensor or {inertia tensor}