Perpendicular Axis Theorem
For the simplicity of calculation, it is often desired to define the polar moment of inertia (with respect to a perpendicular axis) in terms of two area moments of inertia (both with respect to in-plane axes). The simplest case relates to and .
This relationship relies on the Pythagorean theorem which relates and to and on the linearity of integration.
Read more about this topic: Second Moment Of Area
Famous quotes containing the words axis and/or theorem:
“He is the essence that inquires.
He is the axis of the star;
He is the sparkle of the spar;
He is the heart of every creature;
He is the meaning of each feature;
And his mind is the sky,
Than all it holds more deep, more high.”
—Ralph Waldo Emerson (18031882)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (19131960)