When written in full tensor form, its three eigenvalues determine whether an object will tumble.
When written in full tensor form, its three eigenvalues determine whether an object will tumble. Its area variety is used to determine bending stress of a beam, and is expressed in units of length to the fourth power. If the axis is horizontal and passes through the centroid, it equals pi times r to the fourth over 4 for a circle and a to the fourth over 12 for a square, where a is the length of a side. The more common mass variety is found by integrating the product of distance from the axis and density over the entire 3-D space, resulting in a quantity expressed in units of mass times the units of length squared. Equal to 2 times M  times R squared over 5 for a solid sphere, 2 times M times R squared over 3 for a hollow sphere, and M  times R squared for a cylindrical ring, this is, FTP, what rotational analog of mass?
When written in full tensor form, its three eigenvalues determine whether an object will tumble.
moment of inertia