MASALAH TONGKAT DAN TALI
If we tie loosely a rope on each end of a given stick, we like to know the shape of the rope that makes the region bonded by the stick and the rope the largest possible. This problem is better known as Dido problem. It has been shown that it has a solution, that is a semicircle. In this thesis, we e...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/34155 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | If we tie loosely a rope on each end of a given stick, we like to know the shape of the rope that makes the region bonded by the stick and the rope the largest possible. This problem is better known as Dido problem. It has been shown that it has a solution, that is a semicircle. In this thesis, we explore a slightly different problem. We attach a rope of a certain length to a stick of a certain length on its each end. This is different from Dido problem, because both ends of the rope are fixed on each end of the stick. We require the solution is represented in the form of the function ????=????(????). Using calculus of variation, for the length of rope l where 1<?????????2, we obtain a segment of a circle whose center is on vertical line ????=12 be the solution. However, if ????>????2, this solution is no longer valid, because the solution must be a function. In a special case ????=2, we show that the problem has no broken extremals. |
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