Moment of Inertia Matrix
The scalar moments of inertia appear as elements in a matrix when a system of particles is assembled into a rigid body that moves in three dimensional space. This inertia matrix appears in the calculation of the angular momentum, kinetic energy and resultant torque of the rigid system of particles. Let the system of particles Pi, i=1,...,n be located at the coordinates ri and velocities vi. Select a reference point R and compute the relative position and velocity vectors,
where ω is the angular velocity of the system.
Read more about this topic: Moment Of Inertia
Famous quotes containing the words moment of, moment, inertia and/or matrix:
“She walked on, comforted by the surf, by the one perpetual moment of beach-time, the now-and-always of it.”
—William Gibson (b. 1948)
“It must be a moment of great satisfaction in your profession when the bolt is pulled, the noose tightens and you know that your murderer is done for.”
—Arnold Phillips, Max Nosseck (1902–1972)
“What is wrong with priests and popes is that instead of being apostles and saints, they are nothing but empirics who say “I know” instead of “I am learning,” and pray for credulity and inertia as wise men pray for scepticism and activity.”
—George Bernard Shaw (1856–1950)
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)