| Naslov: | The true catenary |
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| Avtorji: | ID Hrovatič, Tjaša (Avtor) ID Hinz, Andreas (Mentor) Več o mentorju...  ID Milutinović, Uroš (Komentor) |
| Datoteke: | UNI_Hrovatic_Tjasa_2013.pdf (571,58 KB) MD5: 25995134708944CA198B87F61A01064A
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Diplomsko delo |
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| Tipologija: | 2.11 - Diplomsko delo |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | In this thesis we introduce the problem of the ideal homogeneous hanging cable called the catenary. We observe the behaviour of the shape of the curve. Firstly, we solve the problem of the classical catenary on a flfat Earth, where the gravitational fifield is constant and perpendicular to the ground. Secondly, we focus on the true symmetric catenary in the central gravitational fifield, which comes from the -1/r potential. In both cases we use the method of calculus of variations for isoperimetric problems and in particular
the Euler-Lagrange difffferential equation. Lastly, we explain the problem of the asymmetric case. |
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| Ključne besede: | Catenary, calculus of variations, Euler-Lagrange equation, curvature, potential energy, difffferential equation. |
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| Kraj izida: | Maribor |
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| Založnik: | [T. Hrovatič] |
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| Leto izida: | 2013 |
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| PID: | 20.500.12556/DKUM-42050  |
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| UDK: | 51(043.2) |
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| COBISS.SI-ID: | 20075784  |
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| NUK URN: | URN:SI:UM:DK:AFJ8CHWL |
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| Datum objave v DKUM: | 25.09.2013 |
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| Število ogledov: | 2573 |
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| Število prenosov: | 199 |
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| Metapodatki: |  |
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| Področja: | FNM
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