STUDY OF HARMONIC OSCILLATIONS OF LINEAR COORDINATES THROUGN ARITHMETIC PROGRESSION OF ANGULAR COORDINATES

This article examines coordinate changes over a defined period: beginning with uniform and nonuniform (stepwise or accelerated) changes of linear coordinates, followed by a mechanical motion model based on the variation of linear and angular coordinates.  It then describes the features of repetitive (periodic or harmonic) variations (oscillations) of linear coordinates are described, based on the arithmetic progression of angular coordinates. The regularities of variation of linear coordinates, velocities, and accelerations with respect to angular coordinates and time are systematically demonstrated using tables and analytical expressions. The regularities of harmonic variation of a body's momentum and external influences (forces) are also presented in the same sequence. The methodological novelty (approach) of the article is also interwoven with the aforementioned considerations: the measurement of momentum and force has an energetic nature, which clarifies the role of these quantities. 

coordinate variation, oscillation, period, frequency, velocity, acceleration, progression

STUDY OF HARMONIC OSCILLATIONS OF LINEAR COORDINATES THROUGN ARITHMETIC PROGRESSION OF ANGULAR COORDINATES