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course:interesting_problems:2020:topic14:start [2019/10/14 13:22] shiyun 创建 |
course:interesting_problems:2020:topic14:start [2020/03/05 22:34] (当前版本) 袁宇远 [参与学生] |
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| ====== 14. Falling Tower ====== | ====== 14. Falling Tower ====== | ||
| + | ===== 课题内容 ===== | ||
| Identical discs are stacked one on top of another to form a | Identical discs are stacked one on top of another to form a | ||
| freestanding tower. The bottom disc can be removed by | freestanding tower. The bottom disc can be removed by | ||
| 行 7: | 行 7: | ||
| standing. Investigate the phenomenon and determine the | standing. Investigate the phenomenon and determine the | ||
| conditions that allow the tower to remain standing. | conditions that allow the tower to remain standing. | ||
| + | ===== 参与学生 ===== | ||
| + | 谈承泰，邹德邻，沈天乐，潘成浩，袁宇远 | ||
| + | ===== 起步 ===== | ||
| + | - disc是哪种的？和摩擦以及质量有关，网上或者店里买哪种的合适？ | ||
| + | - 怎么敲最下面一个（手敲？能不能有什么重复性的装置？） | ||
| + | ===== 参考阅读 ===== | ||
| + | http://stemfellowship.org/iypt-2020-references-2/iypt-2020-reference-problem-14-falling-tower/ | ||
| + | |||
| + | 上述几篇参考文献（有的还没有找到） | ||
| + | * {{ :course:interesting_problems:2020:topic14:a_real-time_physics_simulator_for_jenga_.pdf |}} | ||
| + | * {{ :course:interesting_problems:2020:topic14:overhang.pdf |}} | ||
| + | * {{ :course:interesting_problems:2020:topic14:fun_with_stacking_blocks.pdf |}} | ||
| + | ===== 交流 ===== | ||
| + | |||
| + | 首先在最下面那个disc滑出的过程中上方是一直保持一整个圆柱体状的然后当移动到超过一半的位置上方可视作一整个圆柱体（这里TCT同学有异议可以再讨论）开始倾倒 | ||
| + | 倾倒到落地有两种情况：一种是一端先接触桌面然后disc还未完全走出去，再走出去以后再落地；还有一种是disc完全走出去，先倾倒一端还未接触桌面。 | ||
| + | 这里会有一个自由落体和撞击桌面的过程，在这里会引起塔的倾倒，我们先单纯研究倾倒部分的情况即仅有disc高度变化带来的影响，尤其是碰撞瞬间这一难以用理论预测的情况进行实验上的数据统计 | ||
| + | 速度在这里起的作用可以后面研究 | ||