*World of Mathematics*. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.

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## Euler's Laws of Motion

Swiss mathematician **Leonhard Euler** formulated two laws to describe the **motion** of a rigid body relative to an inertial reference frame. The first law describes how applied forces change the velocity of the **center of mass** of a rigid body. The second law describes how the change in angular momentum of a rigid body is influenced by the moment of the applied **force** and any attachments to other bodies an object may have. These laws were written for bodies of fixed matter. That is the body must be composed of a fixed amount and type of matter that does not change.

The first of Euler's two laws is written as F = *d/dt*(G) where F is each individual force applied to the body and G is the linear momentum of the body. This form is written relative to an inertial reference...

This section contains 794 words(approx. 3 pages at 300 words per page) |