An alternative approach to jerk in motion along a space curve with applications

• Autorzy: Özen Kahraman Esen , Dündar Furkan Semih , Tosun Murat

Identyfikatory

DOI

10.15632/jtam-pl/104595

• Języki publikacji: EN

Abstrakty

EN

Jerk is the time derivative of an acceleration vector and, hence, the third time derivative of the position vector. In this paper, we consider a particle moving in the three dimensional Euclidean space and resolve its jerk vector along the tangential direction, radial direction in the osculating plane and the other radial direction in the rectifying plane. Also, the case for planar motion in space is given as a corollary. Furthermore, motion of an electron under a constant magnetic field and motion of a particle along a logarithmic spiral curve are given as illustrative examples. The aforementioned decomposition is a new contribution to the field and it may be useful in some specific applications that may be considered in the future.

Słowa kluczowe

EN

jerk; kinematics of a particle; plane and space curves

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2019
• Tom: Vol. 57 nr 2
• Strony: 435--444
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Özen Kahraman Esen

• Sakarya University, Mathematics Department, Sakarya, Turkey

autor

Dündar Furkan Semih

• Boğaziçi University, Physics Department, Istanbul, Turkey

autor

Tosun Murat

• Murat Tosun Sakarya University, Mathematics Department, Sakarya, Turkey

Bibliografia

• 1. Bickford J.H., 1972, Mechanisms for Intermittent Motion, Krieger Pub. Co.
• 2. Casey J., 2011, Siacci’s resolution of the acceleration vector for a space curve, Meccanica, 46, 2, 471-476
• 3. Faires V.M., 1965, Design of machine elements. Technical report, Macmillan New York
• 4. Freudenstein F., Sandor G.N., 1964, Mechanical Design and Systems Handbook, chap. 4, p. 13, McGraw-Hill Companies
• 5. Melchior P., 1928, Zeitschrift Ver. Dtsch. Ing., 72, 1842
• 6. R´esal H., 1862, Trait´e de cin´ematique pure, Mallet-Bachelier
• 7. Schot S.H., 1978, Jerk: the time rate of change of acceleration, American Journal of Physics, 46, 11, 1090-1094
• 8. Shifrin T., 2015, Differential Geometry: a First Course in Curves and Surfaces, University of Georgia
• 9. Siacci F., 1879, Moto per una linea gobba, Atti della Reale Accademia della Scienze, 14, 946-951
• 10. Tsirlin M., 2017, Jerk by axes in motion along a space curve, Journal of Theoretical and Applied Mechanics, 55, 4, 1437-1441

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).