Abstract
We have seen that in an inertial reference frame, Euler’s first law (5.43) for the motion of the center of mass “particle” of a rigid body ℬ, a fictitious material point of mass m(ℬ) that moves with the body, has the same form as Newton’s second law (5.39) for the motion of a particle P of mass m(P). Hence, the motion of any such “material point” or “particle” is governed by the Newton-Euler law of motion, here written in its various forms as
in which m is the mass of the “particle,” p=m v, and x, v, and a are its respective current position, velocity, and acceleration in an inertial reference frame.
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References
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Beatty, M.F. (2006). Dynamics of a Particle. In: Principles of Engineering Mechanics. Mathematical Concepts and Methods in Science and Engineering, vol 33. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31255-2_2
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DOI: https://doi.org/10.1007/978-0-387-31255-2_2
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