Application of STEM Technologies on the Example of the Problem of a Thread with a Load

Valery Ochkov (), Inna Vasileva, Ekaterina Borovinskaya () and Wladimir Reschetilowski
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Valery Ochkov: Department of Theoretical Bases of Heat Engineering, National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
Inna Vasileva: Department of Mathematics, Military Educational and Scientific Center of the Air Force “N.E. Zhukovsky and Y.A. Gagarin Air Force Academy”, 394064 Voronezh, Russia
Ekaterina Borovinskaya: Faculty of Mechanical Science and Engineering, Technische Universität Dresden, 01062 Dresden, Germany
Wladimir Reschetilowski: Faculty of Mechanical Science and Engineering, Technische Universität Dresden, 01062 Dresden, Germany

Mathematics, 2023, vol. 11, issue 12, 1-20

Abstract: This paper demonstrates the application of STEM technologies using the example of the problem of a thread with a load. As a training problem, parameter finding of a flexible inextensible thread with a load sliding along it, as well as with a fixed load, is considered. A mathematical model of a thread with a load is created without using simplifying assumptions such as a negligibly small mass of the thread, a thread with a small sag or a parabolic approximation of the thread form. When solving the problem, methods of analysis from various branches of mathematics, theoretical mechanics, physics, history of mathematics, as well as various tools of computer mathematical packages (Mathcad), are used. The reasonability of considering such tasks from the perspective of teaching effectiveness for first-year students in engineering as well as in physics and mathematics is proved. Promising educational tasks based on the investigated problem are considered.

Keywords: STEM education; catenary curve; thread with load (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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