附：2016年USAYPT比赛题目：

1.     Domino Toppling: On 6 August 2014, in Charlotte, North Carolina, a team from Prudential Financial broke the Guinness World Record for toppling the largest domino stone, measuring roughly 30 ft x 15 ft  x 3 ft.  Each domino in the chain had the same aspect ratio of 10:5:1.  Study this phenomenon, then design and construct a domino chain whose overall lateral length before toppling is 3 meters, that starts with a domino stone that you can hold in your hand, and will topple the tallest possible stone. You may change the aspect ratio of your domino stone chain, however all stones must have the same aspect ratio, and all stones must be constructed of the same materials and in the same manner. You must launch the initial, smallest stone with a gentle finger push that topples that stone

2.     Blender Lift: If you hold an immersion hand blender's blades under water in a beaker or pot or pail, under certain circumstances you can lift the beaker and the water by lifting only the hand blender as shown in the picture. Study this phenomenon for a wide range of releveant parameters comparing your theory that explains the effect to the experimental results. Predict the maximum weight of water and container your blender can lift and verify this prediction by experiment.

3.     Transformer Impedance Reflection: The recently posted YouTube video titled "Transformer - Experiments and Demos" shows a demo at the 4 minute mark. The demo purports to show that removing a light bulb in the secondary circuit of a transformer will cause the light bulb in series with the primary to turn off, i.e. "an impedance reflection." Analyze this demo and the published explanation of this effect (W. Layton, Transformer Impedance Reflection, The Physics Teacher 52 (7) Oct 2014, pp. 426-7). Provide theoretical and experimental evidence to explain or refute this effect.

4.     Bouncing Laser Beam: A laser will curve and even bounce in a medium whose index of refraction decreases with height. Although there are several ways to produce this medium, the photo was created by pouring thick, transparent Karosyrup into a tank and then pouring water on top of the syrup. Approximately 12 hours later, the bouncing laser beam can be observed. Create this apparatus or a similar one, study the thoery of the effect, and use your results to measure the index of refraction of the medium as a function of height from the bottom of the tank.

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