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:
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animals—just as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)