MATEMATIK MAYATNIKNI KICHIK VA KATTA BURCHAKLARDA DAVRLAR ORASIDAGI FARQLARNI TAQQOSLASH

Mualliflar

  • Xudoyberdiyeva Malika Karomat qizi O'zbekiston Milliy Universiteti https://orcid.org/0009-0006-8812-5028
  • Bo'ronov Musobek Orifovich O'zbekiston Milliy Universiteti
  • Muxammadjonov Abdul Aziz O'zbekiston Milliy Universiteti

DOI:

https://doi.org/10.69891/3060-4540.2025.78.33.001

Kalit so‘zlar:

mayatnik, davr, burchak, matematik mayatnik

Abstrak

Kichik burchakka og`dirilgan mayatniklar uchun, kichik burchaklarni soddalashtirish foydali bo‘lsa-da, katta burchakli mayatniklar uchun bu yondashuv ishlamaydi va oddiy mayatniklarni hisoblash modellarida katta muammolarga olib kelishi mumkin. Ushbu maqola kichik burchakli va katta burchakli mayatniklarning tebranish davrlari orasidagi farqlarni o‘rganadi hamda ikkala modeldagi davrni tabiatning asosiy qonunlaridan keltirib chiqarishni ko`rsatadi. Shuningdek, ushbu maqola fizik hodisalardan elliptik integralni chiqarishning umumiy usulini taqdim etadi. Nihoyat, maqola matematik mayatniklarni o‘rganishni kengaytirish uchun bir qator takliflarni ilgari suradi. Mazkur maqola qat’iy matematik isbot sifatida mo‘ljallanmagan bo‘lsa-da, mayatniklarning aniq davrlarini chiqarishni yoritishga va ushbu jarayonga bog‘liq matematikani batafsil tushuntirishga qaratilgan

References

Anthony Zee, Fly by Night Physics: How Physicists Use the Backs of Envelopes, (Princeton University Press, Princeton, NJ, 2020). 9

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.

. Helden, A. V. Pendulum Clock 1995. <http://galileo.rice.edu/sci/instruments/pendulum. html>.

Nave, R. Simple Harmonic Motion HyperPhysics. <http://hyperphysics.phy-astr.gsu.edu/hbase/ shm.html>.

Daniel, R. Acoustics and Vibration Animations .

Austin Christian. Math 31A Discussion Session 2016. <http://www.math.ucla.edu/˜archristian/ teaching/31a-w16/week-2.pdf>.

Downloads

Nashr qilingan

2025-01-07

How to Cite

MATEMATIK MAYATNIKNI KICHIK VA KATTA BURCHAKLARDA DAVRLAR ORASIDAGI FARQLARNI TAQQOSLASH. (2025). Universal Xalqaro Ilmiy Jurnal, 2(1), 11-22. https://doi.org/10.69891/3060-4540.2025.78.33.001