Vol. 1 No. 01 (2025), Articles
Vol. 1 No. 01 (2025)

JARIMA NUQTASIDAN YUQORI 9-LIKKA YO‘NALTIRILGAN TO‘PNING HARAKATI

Articles
Published 02-05-2025
  • O‘rolov O‘.A.
  • Abloqulov Sh.Z.
  • Choriyev M.
  • Umirov Sh.B.
O‘rolov O‘.A.
Abloqulov Sh.Z.
Choriyev M.
Umirov Sh.B.
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Keywords

Futbol, jarima nuqtasi, to‘pning harakati, havo qarshiligi, tortishish kuchi, differensial tenglamalar, parabolik harakat, zarba burchagi, jarima zarbasi, fizikaviy model.

How to Cite

O‘.A., O., Sh.Z., A., M., C., & Sh.B., U. (2025). JARIMA NUQTASIDAN YUQORI 9-LIKKA YO‘NALTIRILGAN TO‘PNING HARAKATI. Advances in Science and Education, 1(01), 60–61. https://doi.org/10.70728/edu.v01.i01.020
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Abstract

Ushbu ilmiy maqolada futbol o‘yinida jarima nuqtasidan to‘pni darvozaga yo‘naltirish jarayonidagi fizikaviy omillar o‘rganilgan. Maxsus e’tibor to‘pning havo qarshiligi, yerning tortishish kuchi va devor balandligi kabi faktorlarning to‘pning yo‘nalishi va tezligiga ta’siriga qaratilgan. Bunda, to‘pning masofasi 20, 22, 24, 26, 28 metr bo‘lib, zarbaning burchagi va tezligi aniqlangan. Havo qarshiligi va tortishish kuchi hisobga olingan holda, to‘pning parabolik harakati differensial tenglamalar yordamida model qilindi. Natijada, to‘pning jarima nuqtasidan darvozaga yo‘naltirilishi uchun kerakli zarba tezligi va burchaklari aniqlandi.

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References

Halliday, D., Resnick, R., Walker, J. (2014). Fundamentals of Physics. 10th Edition, Wiley.

(Fizik asoslar: havo qarshiligi, tortishish kuchi uchun.)

Serway, R. A., Jewett, J. W. (2018). Physics for Scientists and Engineers. 10th Edition, Cengage Learning. (To‘p harakati va differensial tenglamalar uchun.)

Anderson, J. D. (2010). Fundamentals of Aerodynamics. 5th Edition, McGraw-Hill.(Havo qarshiligi va drag koeffitsienti uchun.)

Cross, R. (2002). Physics of Soccer: Impulse and Collisions. American Journal of Physics, 70(9), 894-900. (Futboldagi to‘p zarbalari fizikasi uchun.)

Stronge, W. J. (2000). Impact Mechanics. Cambridge University Press. (To‘pning zarba paytidagi kuch va impuls analizlari uchun.)

Yeadon, M. R., & King, M. A. (2002). Modelling the Effects of Air Resistance on Sports Projectiles. Journal of Sports Sciences, 20(10), 831–835. (Sportdagi harakatlar va havo qarshiligi uchun maxsus tadqiqot.)

http://istockphoto.com/vector/freekick-gm49823994941877264?searchscope=image%2Cfilm

https://pixabay.com/vectors/goalkeeper-football-soccer-athlete-8447751/

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