Resolving Kane's Puzzle in Oblique Collisions of Rigid Bodies
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914167370285056 |
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| author | Wang, Xueqiang Su, Qi Li, Siping |
| author_facet | Wang, Xueqiang Su, Qi Li, Siping |
| contents | We examined the asymmetric deformation in collisions and the transition conditions from oblique to normal collisions and non-collisions to address the problem of oblique collisions of rigid bodies in classical mechanics. A closed solution satisfying the fundamental equations and adhering to the energy conservation law without introducing new material parameters was derived. The solution exhibited a nonlinear relationship between post-collision velocity and initial state parameters, contrasting with the linear results of existing studies. This solution avoided the fallacy in Whittaker's hypothesis that kinetic energy might increase after a collision. Consequently, the solution presented herein fundamentally resolves Kane's puzzle, previously overlooked in classical mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17956 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resolving Kane's Puzzle in Oblique Collisions of Rigid Bodies Wang, Xueqiang Su, Qi Li, Siping Classical Physics We examined the asymmetric deformation in collisions and the transition conditions from oblique to normal collisions and non-collisions to address the problem of oblique collisions of rigid bodies in classical mechanics. A closed solution satisfying the fundamental equations and adhering to the energy conservation law without introducing new material parameters was derived. The solution exhibited a nonlinear relationship between post-collision velocity and initial state parameters, contrasting with the linear results of existing studies. This solution avoided the fallacy in Whittaker's hypothesis that kinetic energy might increase after a collision. Consequently, the solution presented herein fundamentally resolves Kane's puzzle, previously overlooked in classical mechanics. |
| title | Resolving Kane's Puzzle in Oblique Collisions of Rigid Bodies |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2511.17956 |