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 oblique components which lie in the osculating plane of the curve. The jerk is the time derivative of acceleration vector. For the jerk vector...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2020-03-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2020-0011 |
| _version_ | 1818745152981696512 |
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| author | Özen Kahraman Esen Güner Mehmet Tosun Murat |
| author_facet | Özen Kahraman Esen Güner Mehmet Tosun Murat |
| author_sort | Özen Kahraman Esen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T02:55:40Z |
| format | Article |
| id | doaj.art-a15c342bfe704dcca4e0a10f834ed22b |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-18T02:55:40Z |
| publishDate | 2020-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-a15c342bfe704dcca4e0a10f834ed22b2022-12-21T21:23:22ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352020-03-0128115116410.2478/auom-2020-0011A Note on the Acceleration and Jerk in Motion Along a Space CurveÖzen Kahraman Esen0Güner Mehmet1Tosun Murat2Turkey.Department of Mathematics, Sakarya University, 54187 Sakarya, Turkey.Department of Mathematics, Sakarya University, 54187 Sakarya, Turkey.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.https://doi.org/10.2478/auom-2020-0011kinematics of a particlespace curvessiaccijerkmodified orthogonal frameprimary 70b05secondary 14h50 |
| spellingShingle | Özen Kahraman Esen Güner Mehmet Tosun Murat A Note on the Acceleration and Jerk in Motion Along a Space Curve Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica kinematics of a particle space curves siacci jerk modified orthogonal frame primary 70b05 secondary 14h50 |
| title | A Note on the Acceleration and Jerk in Motion Along a Space Curve |
| title_full | A Note on the Acceleration and Jerk in Motion Along a Space Curve |
| title_fullStr | A Note on the Acceleration and Jerk in Motion Along a Space Curve |
| title_full_unstemmed | A Note on the Acceleration and Jerk in Motion Along a Space Curve |
| title_short | A Note on the Acceleration and Jerk in Motion Along a Space Curve |
| title_sort | note on the acceleration and jerk in motion along a space curve |
| topic | kinematics of a particle space curves siacci jerk modified orthogonal frame primary 70b05 secondary 14h50 |
| url | https://doi.org/10.2478/auom-2020-0011 |
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