General energy change law for systems with variable mass
✍ Scribed by Djordje Mušicki
- Book ID
- 104373081
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 144 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0997-7538
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✦ Synopsis
In this paper the general energy change law for the mechanical systems with variable mass is formulated, starting from the Lagrangian equations for such systems. This law is expressed also in terms of the metric tensor and connected with the corresponding generalized Noether's theorem, from where it is concluded under which conditions the energy conservation is valid. The obtained results are illustrated by a simple and for this aim characteristic example, the somewhat extended second problem of Ciolkowsky, and the loss of energy in time unit was analysed for the various values of the ejection velocity of gasses.
📜 SIMILAR VOLUMES
In this paper a new parametric formulation of mechanics, formulated by the author himself and based on the separation of the double role of time (independent variable and a parameter) with the aid of a family of varied paths, is extended to the arbitrary rheonomic systems with variable mass. For suc