diplomsko delo
Darja Mihelčič (Author), Marko Razpet (Mentor)

Abstract

Hookove elipse

Keywords

nihanje;Robert Hooke;diferencialne enačbe;integrali;adicijski izrek;

Data

Language: Slovenian
Year of publishing:
Source: Ljubljana
Typology: 2.11 - Undergraduate Thesis
Organization: UL PEF - Faculty of Education
Publisher: [D. Mihelčič]
UDC: 51(043.2)
COBISS: 9653065 Link will open in a new window
Views: 981
Downloads: 249
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary title: Hooke's ellipses
Secondary abstract: Characteristics of ellipses and oscillations are described in this graduation thesis. The main subject of graduation thesis are Hook's ellipses which were named after Robert Hooke, whose life and works are also slightly presented. The main purpose of this graduation thesis is to prove, that the pendulum which oscillates at the same time in two mutually perpendicular directions, forms an ellipse. It also includes the second physical example, where a part of Hooke's ellipse appears. Characteristics and area of Hooke's ellipses are also presented and visually shown in program tool GeoGebra.
Secondary keywords: mathematics;physics;matematika;fizika;
File type: application/pdf
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. Ljubljana, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Pages: V, 58 f.
Type (ePrints): thesis
Title (ePrints): Hooke's ellipses
Keywords (ePrints): elipsa
Keywords (ePrints, secondary language): ellipse
Abstract (ePrints): V diplomskem delu so opisane značilnosti elips in nihanja. Glavna nit diplomskega dela so Hookove elipse, ki so ime dobile po Robertu Hooku, katerega delovanje je tudi na kratko predstavljeno. Namen diplomskega dela je dokazati, da se pri nihalu, ki niha hkrati v dveh med seboj pravokotnih smereh, oblikuje elipsa. Dotakne se tudi drugega fizikalnega primera, v katerem se pojavi del Hookove elipse. Predstavljene so tudi značilnosti in ploščina Hookovih elips. Vse to je vizualno podkrepljeno s slikami iz programskega orodja GeoGebra.
Abstract (ePrints, secondary language): Characteristics of ellipses and oscillations are described in this graduation thesis. The main subject of graduation thesis are Hook's ellipses which were named after Robert Hooke, whose life and works are also slightly presented. The main purpose of this graduation thesis is to prove, that the pendulum which oscillates at the same time in two mutually perpendicular directions, forms an ellipse. It also includes the second physical example, where a part of Hooke's ellipse appears. Characteristics and area of Hooke's ellipses are also presented and visually shown in program tool GeoGebra.
Keywords (ePrints, secondary language): ellipse
ID: 8311419