Affiliation:
1. Department of Mathematics, Faculty of Education Ain Shams University Cairo Egypt
2. Section of Mathematics International Telematic University Uninettuno Rome Italy
3. Department of Mathematics, Faculty of Sicence Tanta University Tanta Egypt
Abstract
Investigating the jounce vector in planar and space motion is the primary objective of this paper. For planar motion, the jounce vector is split into tangential‐normal and radial‐transverse components. Simple pendulum oscillation, a central force proportionate to distance, and Keplerian orbital motion are used as models for plane motion to show the geometric properties of the jounce vector. The jounce vector of a particle that is moving across three dimensions of Euclidean space is also investigated, and it is resolved in the tangential, radial, and other radial directions in the rectifying and osculating planes, respectively. The models used were an electron in a uniform magnetic field and a particle traveling along a spiral path.
Subject
General Engineering,General Mathematics
Reference12 articles.
1. Moto per una linea gobba;Siacci F;Atti R Accad Sci Torino,1879
2. Siacci's Theorem for Frenet Curves in Minkowski 3-Space
3. A new visualization of fundamental mechanical elements and concepts according to differential geometry;Elsayied HK;Revista de Edu,2021
4. Resolutions of the Jerk and Snap Vectors for a Quasi Curve in Euclidean 3-Space
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献