Definition
Consider a moving rigid body and the velocity of a particle/point P along the body being a function of the position and velocity of a center particle/point C and the angular velocity .
The linear velocity vector at P is expressed in terms of the velocity vector at C as:
where is the angular velocity vector.
The material acceleration at P is:
where is the angular acceleration vector.
The spatial acceleration at P is expressed in terms of the spatial acceleration at C as:
which is similar to the velocity transformation above.
In general the spatial acceleration of a particle point P that is moving with linear velocity is derived from the material acceleration at P as:
Read more about this topic: Spatial Acceleration
Famous quotes containing the word definition:
“Mothers often are too easily intimidated by their children’s negative reactions...When the child cries or is unhappy, the mother reads this as meaning that she is a failure. This is why it is so important for a mother to know...that the process of growing up involves by definition things that her child is not going to like. Her job is not to create a bed of roses, but to help him learn how to pick his way through the thorns.”
—Elaine Heffner (20th century)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (1803–1882)