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undergraduate thesis
Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics, 2024. urn:nbn:hr:160:190862
Ercegovac, Emanuela
Josip Juraj Strossmayer University of Osijek
Department of Physics

Institutional repository: Repository of Department of Physics in Osijek

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Ercegovac, E. (2024). Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:190862

Ercegovac, Emanuela. "Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2024. https://urn.nsk.hr/urn:nbn:hr:160:190862

Ercegovac, Emanuela. "Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2024. https://urn.nsk.hr/urn:nbn:hr:160:190862

Ercegovac, E. (2024). 'Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 04 December 2024, https://urn.nsk.hr/urn:nbn:hr:160:190862

Ercegovac E. Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2024 [cited 2024 December 04] Available at: https://urn.nsk.hr/urn:nbn:hr:160:190862

E. Ercegovac, "Numerička analiza gibanja 1D matematičkog njihala u granici malih amplituda", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:160:190862

Metadata
TitleNumerička analiza gibanja 1D matematičkog njihala u granici malih amplituda
Title (english)Numerical analysis of the motion of a 1D mathematical pendulum in the limit of small amplitudes
AuthorEmanuela Ercegovac
MentorZvonko Glumac (mentor)
Committee memberZvonko Glumac (predsjednik povjerenstva)
Committee memberMarina Poje Sovilj (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
Osijek
Defense date and country2024-09-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
General and Classical Physics
Abstract
Matematičko (jednostavno) njihalo je titrajni sustav u kojemu je čestica mase 𝑚 obješena na donjem kraju nerastezive niti zanemarive mase duljine 𝑙. U ovome radu napravljen je računalni program u Pythonu koji numerički računa rješenja diferencijalnih jednadžbi za jednostavno, prigušeno, prisilno i nelinearno matematičko njihalo u granici malih amplituda. Uz pomoć Eulerove metode i Euler-Cromerove metode dobivena su grafička i numerička rješenja u slučajevima kada osim gravitacijske sile djeluju sila prigušenja i vanjska periodična sila.
Abstract (english)
A mathematical (simple) pendulum is a oscillating system in which a particle of mass 𝑚 is suspended at the lower end of a thread of negligible mass length 𝑙. In this paper, a computer program in Python was created that numerically calculates the solutions of differential equations for a simple, damp, forced and nonlinear mathematical pendulum in the limit of small amplitudes. With the help of the Euler method and the Euler-Cromer method, graphical and numerical solutions were obtained in cases where, in addition to the gravitational force, the damping force and the external periodic force act.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:160:190862
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2024-09-13 10:44:37