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
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