By W. Pryse
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Extra resources for An Introduction to the Khasia Language, Comprising Grammar, Selections for Reading, and a Vocabulary
See Ref. 2], p. 514. Consider a specific grouping of N particles that comprise a deformable body of arbitrary shape and, in the above sense of a limit, represent any structural material. Newton’s second law applies to each of the N particles. Let F iex be the sum of all the forces acting on the ith particle that originate from sources outside of this collection of particles (to be called the net external force acting on the ith particle). , the net internal force acting on the ith particle). Then, with r i being the position vector for the mass mi , Newton’s second law applied to only the ith mass is mi r¨i = F iex + F iin .
5 Conservation Laws Note that if the sum of all the forces external to the mass system, F, is zero throughout the time period of study, then M P is also zero. Then, in this case, there are two immediate corollaries of Eqs. 3b), which are that P and LP , the momentum and angular momentum respectively, are constants. These theorems of constant (or conservation of) momentum and constant (or conservation of) angular momentum can be quite useful when dealing with isolated system models such as those of some spacecraft.
4 Thus a positive δv would be any small, imagined, exclusively upward deflection beyond the real upward deflection v. Of course the ruler (in the analyst’s imagination) would remain parallel to the position it had before this virtual displacement because at this point there are no virtual changes in the other two generalized coordinates. If a positive δθ were the only virtual displacement, the ruler would in the analyst’s imagination, rotate through a small angle, counterclockwise about the point located by the u and v generalized coordinates.
An Introduction to the Khasia Language, Comprising Grammar, Selections for Reading, and a Vocabulary by W. Pryse