Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 42, 24 June 2024
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The rotational inertia of a rigid body
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Abstract
The role of moment for inertia in rotational dynamics is equivalent to mass in linear dynamics and can be understood as an object's resistance to rotational motion. It establishes the relationship between several quantities such as angular momentum, angular velocity, torque, and angular acceleration. Accurately calculating the moment of inertia is crucial for designing various rotating systems and mechanical devices in engineering. For example, when dealing with rotating mechanical parts or machines, their moment of inertia ensures stability and performance in design needs to be considered. In physics and engineering, the analysis of rotational motion for rigid bodies relies on the concept of moment of inertia. It allows us to understand the dynamic behavior of a rigid body around an axis, including applications such as rotational stability, gyroscopic motion, and conservation of angular momentum. In this paper, the rotational inertia of a rigid body is studied by different method. Calculating the moment of inertia helps us gain a deeper understanding of an object's inertial properties during rotational motion while providing an important foundation for engineering design, scientific research, and material analysis.
Keywords
Moment of inertia, Rotational dynamics, Multiple integral calculation
References
1. Sheng, Z., Yi, D. and Yang, E. (2004) The influence of approximate methods used for measuring the rotational inertia of a rigid body using the three-line pendulum method. University Physics, 2, 3.
2. Zhao, X. and Hou, Wen. (2006) A study on the measurement of rotational inertia method for triple pendulum considering the effect of catenary stretching. Aerospace Measurement Technology, 26, 4.
3. Song, C., Pan, J., Ye, Y. and Zhuang, B. (2003) Error Issues in Testing the Moment of Inertia of Objects Using the Three-Line Pendulum Method. Mechanics and Practice, 25, 3.
4. Li, J. and Wu, G. (2019) Error Analysis of Measuring the Moment of Inertia of Rotating Objects with a Triple Pendulum and Improvement of Experimental Methods. Chinese Foreign Exchange.
5. Zhou, G. (2002) Formula for the moment of inertia of a rigid quadrilateral plate rotating around its center of mass axis. College Physics, 12(12), 24-26.
6. Jie, Y., Liu, Y., Wang, P. and Yang, C. (2009) Moment of inertia for rotation around the center of mass axis of an isosceles triangular rigid plate. Physics and Engineering, 019, 18-19.
7. Liao, Y. and Ge, W. (2002) A simple method for calculating the moment of inertia of asymmetric objects. Advances in Mathematics, Mechanics, Physics, and High Technology Research - Volume 9, Proceedings of the 9th Academic Symposium of the Chinese Society for Interdisciplinary Studies on Mathematics, Mechanics, Physics and High Technology.
8. Chen, G., Hu, K., Zhou, L. and Tao, X. (2021) A method for calculating the moment of inertia of a homogeneous object with arbitrary shape rotating around any axis of rotation. CN112380742A.
9. Sun, X., Lin, K. and Li, S. et al. (2023) An electric generator unit with increased load rotational inertia and its control operation method. CN107872119B.
10. Huang, J. (1997) A simplified approach to solving some problems of planar parallel motion of rigid bodies. Physics Bulletin.
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of Machine Learning: Integrating machine learning techniques to advance network security - CONFMPCS 2024
- ISBN (Print)
- 978-1-83558-495-8
- ISBN (Online)
- 978-1-83558-496-5
- Published Date
- 24 June 2024
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/42/20240110
- Copyright
- 24 June 2024
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited