One quantity with this name has units of length raised to the 4th power and is calculated with respect to the location of the centroid--that quantity is sometimes called this quantity's "polar" or "area" version.
One quantity with this name has units of length raised to the 4th power and is calculated with respect to the location of the centroid--that quantity is sometimes called this quantity's "polar" or "area" version. Diagonalizing this rank-2 tensor yields the three values of it which appear in Euler's equations; those values are termed "principal." For small oscillations, the period of a physical pendulum is proportional to the (*) square root of this quantity. This quantity is defined as the volume integral of r squared times dm ("dee em"), and if it is known for one axis, it can be simply calculated for any parallel axis by the parallel axis theorem. Equal to the ratio of torque to angular acceleration by the rotational Newton's 2nd law, for 10 points, name this quantity symbolized I, the rotational analogue of mass.
One quantity with this name has units of length raised to the 4th power and is calculated with respect to the location of the centroid--that quantity is sometimes called this quantity's "polar" or "area" version.
moment of inertia [or rotational inertia, prompt on "I," prompt on "inertia," before "area," accept "second moment of area," prompt on just "moment" until "tensor"]