By John A Hobkirk
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We divide this volume into N separate parts. It is supposed that there is only one molecule within each such partial volume. It is obvious, that the integrity of the system, as a whole, is violated as the result of decomposition. Indeed, any separate molecule has no collective properties of the gas. In principle we can decompose a given gas volume into parts by another method, but the condition therein, is satisfied for each partial separate volume is the number of molecules in a part). In this case each partial gas volume can be represented as some subsystem of many molecules.
In the account below, we employ widely both: the Lagrange as well as Euler approaches. 5. CONCEPT OF SYSTEM Most of the objects investigated in physics and engineering are various types of systems. Therefore, the knowledge of general features of the systems allows to better understand the problems studied. It concerns both: the mathematical description of the problem, as well as the analysis of results obtained. Apart from that, peculiarities of some systems (for instance, the hierarchical dynamical systems) allow us to construct corresponding highly effective asymptotic calculational methods.
3 Curvilinear Motion In the case of curvilinear motion the concepts of the moment of force the moment of momentum and the moment of inertia of material point are used to describe the dynamics of material point. 4)). 4 Rotation The simplest case of curvilinear motion is rotation. In the rotation kinematics, besides the linear values, the angular values are introduced also. Including, the angular displacement is: where is the angle of a turn of the radius-vector of material point is the unit vector normal to the plane of vector rotation (see Fig.
A colour atlas of complete dentures by John A Hobkirk