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# 河北省第二届大学生物理竞赛试题

Problems for the 29th IYPT 2016
1. Lagging Pendulum
A pendulum consists of a strong thread and a bob. When the pivot of the pendulum starts moving along a horizontal circumference, the bob starts tracing a circle which can have a smaller radius, under certain conditions. Investigate the motion and stable trajectories of the bob.

1.滞后的摆 一根坚韧的线和重物可构成一个摆。当摆的,悬挂点在水平面上作圆周运动的时 候,在某些情况下重物也可开始做圆周运动，并且半径更小。研究该运动以及重 物的稳定轨迹。

2. Hot Water Fountain Partially fill a Mohr pipette with hot water. Cover the top of the pipette with your thumb. Turn the tip upwards and observe the fountain exiting the tip. Investigate the parameters describing the height of the fountain, and optimize them to get the maximum height. 2.热水喷泉 用热水部分装填一个莫尔吸量管。用你的大拇指盖住其上端并倒置，可观察到从 尖部喷出的水喷泉。 请研究决定水喷泉高度的参量，并改变它们以获得喷泉最大 的高度。

3. Magnetic Train Button magnets are attached to both ends of a small cylindrical battery. When placed in a copper coil such that the magnets contact the coil, this "train" starts to move. Explain the phenomenon and investigate how relevant parameters affect the train's speed and power. 3. 磁力小火车 两个扁圆柱形磁铁与一个柱状的电池两端相接， 当这个体系放在铜线圈内部且与 铜接触的时候， 它会开始运动。 解释这个现象并且研究相关参量怎么影响火车的 速度和功率。

4. Water Waves Generate a water wave with a vertically oscillating horizontal cylinder. When varying the excitation frequency and/or amplitude, the water seems to drift away from or towards the cylinder. Investigate the phenomenon. 4.水波 用一个竖直振动的水平圆柱来产生水波， 当改变激励频率和振幅的时候水波会看 起来流向或背离圆柱。请研究这个现象。

5. Paper Vice Take two similar paperback books and interleave a few pages at a time. Push the books together. Hold the two books by their spines and try to pull them apart. Investigate the parameters that set the limits of being able to separate the books. 5.纸钳子 拿两本类似的平装书然后互相交叉几页，将两本书推在一起。揪住两本书的书脊 并尝试将它们分开。研究相关参量对分开书临界拉力大小的影响。

6. Contactless Calliper Invent and construct an optical device that uses a laser pointer and allows contactless determination of thickness, refractive index, and other properties of a glass sheet. 6.非接触式卡钳 发明和构造一种使用激光指示器的光学装置，并允许非接触式测定玻璃片的厚 度、折射率和其它性能。

7. Crazy Suitcase When one pulls along a two wheeled suitcase, it can under certain circumstances wobble so strongly from side to side that it can turn over. Investigate this phenomenon. Can one suppress or intensify the effect by varied packing of the luggage? 7.疯狂的手提箱 当一个人拉着一二个轮子的手提箱时，它可以在某些情况下强烈地摇晃，从一边 到另一边，它可以翻身。调查这种现象。可以通过不同的包装来抑制或强化效果 吗？

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