ON SOME APPLICATIONS OF THE FORMULA OF THE CENTER OF MASS
DOI 10.54151/27382559-23.1pb-169
Nikoghosyan G. S., Manukyan V. F., Serobyan Y. S.
Keywords: vector, center of mass, mathematics, physics, interdisciplinary connections, area coverage problems.
From the point of view of didactics, the use of intersubject links to some extent raises the scientific level of teaching, promotes easy assimilation of the presented material. It is no secret that mathematics plays a "dictating" role in this connection, contributing to the substantiation of various physical phenomena and regularities. Despite this "dictating" circumstance, the interdisciplinary connection of mathematics and physics has a dual nature. On the one hand, mathematical knowledge is used to study physical problems and questions, on the other hand, there is a feedback loop when physical regularities fill the field of application of mathematical knowledge, making the teaching of mathematical "abstract" material more objective and interesting.
The article is devoted to the identification of some possible useful applications of physical "tools" in the process of teaching mathematical material. In particular, on the basis of the vector formula for determining the radius-vector of the center of mass, well-known from the physics school program, the work offers an innovative-physical approach to solving the problems of covering areas encountered in combinatorics, which is the scientific and pedagogical novelty of the work.
Considering such tasks, in the article we will first briefly outline their traditional-mathematical solutions, after which we will offer innovative-physical solutions using the formula for determining the center of mass of the body, thus revealing one more manifestation of the inverse intersubjective connection between physics and mathematics.
