<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A Note on the Acceleration and Jerk in Motion Along a Space Curve

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A Note on the Acceleration and Jerk in Motion Along a Space Curve"}

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...

A Note on the Acceleration and Jerk in Motion Along a Space Curve

Published Online: Apr 09, 2020

Page range: 151 - 164

Received: Apr 07, 2019

Accepted: Jun 28, 2019

DOI: https://doi.org/10.2478/auom-2020-0011

Keywords
Kinematics of a particle, Space curves, Siacci, Jerk, Modified orthogonal frame

© 2020 Kahraman Esen Özen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Note on the Acceleration and Jerk in Motion Along a Space Curve

Published Online: Apr 09, 2020

Page range: 151 - 164

Received: Apr 07, 2019

Accepted: Jun 28, 2019

DOI: https://doi.org/10.2478/auom-2020-0011

KeywordsKinematics of a particle, Space curves, Siacci, Jerk, Modified orthogonal frame

© 2020 Kahraman Esen Özen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Kinematics of a particle, Space curves, Siacci, Jerk, Modified orthogonal frame