DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3)
A tippe top is a toy that has the form of a truncated sphere with a small peg. When the toy is spun on its spherical part on a flat supporting surface or tube inner surface it will start to turn upside down to spin on its peg. Here the tippe top equation of motion has been derived using Poincaré eq...
| Main Authors: | , |
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2014
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| _version_ | 1797035955230605312 |
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| author | , MELLY ARISKA , Dr.rer.nat. Muhammad Farchani Rosyid |
| author_facet | , MELLY ARISKA , Dr.rer.nat. Muhammad Farchani Rosyid |
| author_sort | , MELLY ARISKA |
| collection | UGM |
| description | A tippe top is a toy that has the form of a truncated sphere with a small
peg. When the toy is spun on its spherical part on a flat supporting surface or tube
inner surface it will start to turn upside down to spin on its peg. Here the tippe top
equation of motion has been derived using Poincaré equation-based Routhian
reduction. However, the Poincaré equation required that quasi-coordinate of the
quasi-velocity was found, while in the case of the tippe top dynamics there is not
any exact solution of the quasi-coordinate of the quasi-velocity. Therefore, the
tippe top equation must be reduced to solve the problem. In this thesis Poincaré
equation-basedRouthian reduction was used to derive the equation motion of tippe
top on flat plane and tube inner surface.A computation in finding numerical
solution of the tippe top dynamics has also been made using Maple program. |
| first_indexed | 2024-03-13T23:38:34Z |
| format | Thesis |
| id | oai:generic.eprints.org:133202 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T23:38:34Z |
| publishDate | 2014 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1332022016-03-04T07:59:42Z https://repository.ugm.ac.id/133202/ DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) , MELLY ARISKA , Dr.rer.nat. Muhammad Farchani Rosyid ETD A tippe top is a toy that has the form of a truncated sphere with a small peg. When the toy is spun on its spherical part on a flat supporting surface or tube inner surface it will start to turn upside down to spin on its peg. Here the tippe top equation of motion has been derived using Poincaré equation-based Routhian reduction. However, the Poincaré equation required that quasi-coordinate of the quasi-velocity was found, while in the case of the tippe top dynamics there is not any exact solution of the quasi-coordinate of the quasi-velocity. Therefore, the tippe top equation must be reduced to solve the problem. In this thesis Poincaré equation-basedRouthian reduction was used to derive the equation motion of tippe top on flat plane and tube inner surface.A computation in finding numerical solution of the tippe top dynamics has also been made using Maple program. [Yogyakarta] : Universitas Gadjah Mada 2014 Thesis NonPeerReviewed , MELLY ARISKA and , Dr.rer.nat. Muhammad Farchani Rosyid (2014) DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3). UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=73762 |
| spellingShingle | ETD , MELLY ARISKA , Dr.rer.nat. Muhammad Farchani Rosyid DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title | DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title_full | DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title_fullStr | DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title_full_unstemmed | DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title_short | DINAMIKA GASING BALIK DENGAN PERSAMAAN POINCARE PADA RUANG KONFIGURASI R2xSO(3) dan RxSixSO(3) |
| title_sort | dinamika gasing balik dengan persamaan poincare pada ruang konfigurasi r2xso 3 dan rxsixso 3 |
| topic | ETD |
| work_keys_str_mv | AT mellyariska dinamikagasingbalikdenganpersamaanpoincarepadaruangkonfigurasir2xso3danrxsixso3 AT drrernatmuhammadfarchanirosyid dinamikagasingbalikdenganpersamaanpoincarepadaruangkonfigurasir2xso3danrxsixso3 |