PHYSICAL AND MATHEMATICAL ANALYSIS OF PERIOD CALCULATION OF PENDULUMS

Authors

  • Khudoyberdieva Malika Karomatovna
  • Bo’ronov Musobek Orifovich

Keywords:

Mathematical pendulum, physical pendulum, stem, period

Abstract

This article aims to teach students to extract as much physics as possible from the familiar subject of pendulums before moving on to mathematical calculations. Another point is that the sinusoidal shape between speed and time of harmonic movements is determined not by calculation, but by physical logic. In this article, we have compared the results through physical and mathematical analysis.

References

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Zhiwei Chong, “A qualitative analysis to simple harmonic motion,” arXiv preprint arXiv:2209.12662 (2022). ( Accepted by The Physics Teacher)

The subscript in ???????? stands for physical, while that in ???????? actually stands for the center of percussion.

Hugh G. Gauch, Scientific Method in Practice, (Cambridge University Press, Cambridge, 2003) p. 269.

P. N. Raychowdhury, and J. N. Boyd, “Center of percussion,” Am. J. Phys. 47(12):1088- 1089 (1979).

J. Hass, C. Heil, and M. D. Weir, Thomas’ Calculus, 14th ed. (Pearson Education, Boston, 2018), p. 191.

Published

2025-02-19