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2024 | OriginalPaper | Chapter

A Didactic Approach to Study Mass—Inertial Characteristics of Bodies in Plane Motion

Authors : Vladimir Kotev, Radoslav Rusinov, Miriam Rimeh, Georgi Ivanov, Mirjana Ivanova, Ivan Jordanov

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

The STEM (Science, Technology, Engineering, Math) education employs a hands-on learning approach that integrates various subjects to foster a thorough grasp of concepts and their real-world applications. In the present paper, an experimental set up to study mass-inertial characteristics of different shape cylindrical bodies in plane motion is presented. The aim of the experimental set up is to show students visually the influence of mass distribution of circle shape bodies with different cross sections on their planar motion. Moreover, the meaning of each term of differential equations of motions as well as their initial conditions are explained and shown. We have designed and developed an experimental set up utilizing a 3D printer and plastic materials, as well as time measure sensors and display in order to give some examples. Also, we have designed and printed 2 cylinders with different cross sections with different diameters with the same mass. Moment of inertia of these two bodies are calculated. We plug into the differential equations the calculated mass—characteristics of these three bodies. Also, we discussed the behavior of the system with different initial conditions. The obtained result shows If two cylinders with equal mass but different diameters and shapes of its cross sections are move in the same plane the cylinder with small diameter moves faster.

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Literature
1.
go back to reference Jonathan M. Breiner, Shelly Sheats Harkness, Carla C. Johnson, Catherine M. Koehler What Is STEM? A Discussion About Conceptions of STEM in Education and Partnerships. School Science and Mathematics 112(1), (2012). Jonathan M. Breiner, Shelly Sheats Harkness, Carla C. Johnson, Catherine M. Koehler What Is STEM? A Discussion About Conceptions of STEM in Education and Partnerships. School Science and Mathematics 112(1), (2012).
2.
go back to reference Carol C. Waters, and Amy Orange: STEM-driven school culture: Pillars of a transformative STEM approach, Journal of Pedagogical Research, Volume 6, Issue 2, (2022). Carol C. Waters, and Amy Orange: STEM-driven school culture: Pillars of a transformative STEM approach, Journal of Pedagogical Research, Volume 6, Issue 2, (2022).
3.
go back to reference Kelley, T.R., Knowles, J.G. A conceptual framework for integrated STEM education. IJ STEM Ed 3, 11 (2016). Kelley, T.R., Knowles, J.G. A conceptual framework for integrated STEM education. IJ STEM Ed 3, 11 (2016).
4.
go back to reference J. L. Meriam L. G. Kraige. Engineering mechanics, volume Dynamics, 7-th edition, 2017. J. L. Meriam L. G. Kraige. Engineering mechanics, volume Dynamics, 7-th edition, 2017.
Metadata
Title
A Didactic Approach to Study Mass—Inertial Characteristics of Bodies in Plane Motion
Authors
Vladimir Kotev
Radoslav Rusinov
Miriam Rimeh
Georgi Ivanov
Mirjana Ivanova
Ivan Jordanov
Copyright Year
2024
DOI
https://doi.org/10.1007/978-3-031-53212-2_17

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