Main Article Content
Abstract
The theorem of vertical axes is widely used in calculating the moment of inertia for one-dimensional and two-dimensional objects. It is equally applicable to three perpendicular axes. This study explores its applicability in non-vertical positions by conducting experiments on narrow non-vertical bars. The findings confirm that the theorem holds true in non-vertical scenarios as well. Physical pendulums were employed for experimental investigations of vibration periods, and theoretical calculations were developed. These resulted in data and graphs with an approximate error of less than 1% across all experimental stages. The results were assessed through numerical and graphical analyses, with differences consistently below the relative error margin.
Keywords
Article Details
Copyright (c) 2024 Reserved for Kabul University
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
- Walker J. Halliday & Resnick Fundamentals of Physics. 9th Ed.: John Wiley & Sons, Inc.; 2011.
- Fowles Gr, Cassiday Gl. Analatical Mechanics: Thomson Learning / Brooks/Cole; 2004.
- Hibbeler Rc. Engineering Mechanics Statics. 14th Ed. R. C. Hibbeler: Pearson; 2016.
- Baker Gl, Blackburn Ja. The Pendulum: A Case Study In Physics: Oxford University Press; 2008.
- Cristiano Kl, Triana Da, Ortiz R, Pico M, Stupinan Af. Analytical And Experimental Determination of Gravity And Moment of Inertia Using a Physical Pendulum. In Iop Conference Series1386 , 012139; 2019.
- Richardson Th, Brittle Sa. Physical Pendulum Experiments To Enhance The Understanding of Moments of Inertia and Simple Harmonic Motion. Phys Ics Educat Ion. 2012; 47(5): 537-544.
- Mackelvey Jp. A Generalization of The Perpendicular Axis Theorem for the Rotational Inertia of Rigid Bodies. Amjph. 1983; 51(7): 658-660.
- Abduljhany Ra. Generalization of Parallel Axis Theorem for Rotational Inertia. Amjph. 2017; 85(10): 791-795.
- Bernard R, Zhe Wy. Three-Axis Theorem In Moment of Inertia Computation. World Scientific Publishing Company. 2020; 2(3).
References
Walker J. Halliday & Resnick Fundamentals of Physics. 9th Ed.: John Wiley & Sons, Inc.; 2011.
Fowles Gr, Cassiday Gl. Analatical Mechanics: Thomson Learning / Brooks/Cole; 2004.
Hibbeler Rc. Engineering Mechanics Statics. 14th Ed. R. C. Hibbeler: Pearson; 2016.
Baker Gl, Blackburn Ja. The Pendulum: A Case Study In Physics: Oxford University Press; 2008.
Cristiano Kl, Triana Da, Ortiz R, Pico M, Stupinan Af. Analytical And Experimental Determination of Gravity And Moment of Inertia Using a Physical Pendulum. In Iop Conference Series1386 , 012139; 2019.
Richardson Th, Brittle Sa. Physical Pendulum Experiments To Enhance The Understanding of Moments of Inertia and Simple Harmonic Motion. Phys Ics Educat Ion. 2012; 47(5): 537-544.
Mackelvey Jp. A Generalization of The Perpendicular Axis Theorem for the Rotational Inertia of Rigid Bodies. Amjph. 1983; 51(7): 658-660.
Abduljhany Ra. Generalization of Parallel Axis Theorem for Rotational Inertia. Amjph. 2017; 85(10): 791-795.
Bernard R, Zhe Wy. Three-Axis Theorem In Moment of Inertia Computation. World Scientific Publishing Company. 2020; 2(3).