Affiliation:
1. Turkey .
2. Department of Mathematics , Sakarya University , 54187 Sakarya , Turkey .
Abstract
Abstract
The resolution of the acceleration vector of a particle moving along a space curve is well known thanks to Siacci [1]. This resolution comprises two special oblique components which lie in the osculating plane of the curve. The jerk is the time derivative of acceleration vector. For the jerk vector of the aforementioned particle, a similar resolution is presented as a new contribution to field [2]. It comprises three special oblique components which lie in the osculating and rectifying planes. In this paper, we have studied the Siacci’s resolution of the acceleration vector and aforementioned resolution of the jerk vector for the space curves which are equipped with the modified orthogonal frame. Moreover, we have given some illustrative examples to show how the our theorems work.
Reference16 articles.
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2. [2] K. E.Özen, F. S. Dündar, M. Tosun, An Alternative Approach to Jerk in Motion Along a Space Curve with Applications. Journal of Theoretical and Applied Mechanics 57(2) (2019), 435–444.10.15632/jtam-pl/104595
3. [3] J. Casey, Siacci’s Resolution of the Acceleration Vector for a Space Curve. Meccanica 46 (2011), 471–476.
4. [4] E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. 4th Edition, Cambridge University Press, 1944.
5. [5] N. Grossman, The Sheer Joy of Celestial Mechanics. Birkhauser, Basel, 1996.10.1007/978-1-4612-4090-7
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