| Title: | The true catenary |
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| Authors: | ID Hrovatič, Tjaša (Author)
ID Hinz, Andreas (Mentor) More about this mentor... 
ID Milutinović, Uroš (Comentor) |
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| Files: |  UNI_Hrovatic_Tjasa_2013.pdf (571,58 KB)
MD5: 25995134708944CA198B87F61A01064A
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| Language: | English |
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| Work type: | Undergraduate thesis |
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| Typology: | 2.11 - Undergraduate Thesis |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | 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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| Keywords: | Catenary, calculus of variations, Euler-Lagrange equation, curvature, potential energy, difffferential equation. |
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| Place of publishing: | Maribor |
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| Publisher: | [T. Hrovatič] |
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| Year of publishing: | 2013 |
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| PID: | 20.500.12556/DKUM-42050 |
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| UDC: | 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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| Publication date in DKUM: | 25.09.2013 |
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| Views: | 2571 |
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| Downloads: | 199 |
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| Metadata: |    |
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| Categories: | FNM
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