Heh! An international favorite. Here's an antique version in English:
Sometimes, it's called a "mule barometer" or simply a "rope barometer" (without the picture of an ослик/мул). I remember that when I was a kid in the Boy Scouts, a weather-predictor of this type was a popular "arts and crafts" project. (I'm not sure how to say that in Russian -- maybe кустарное изделия?)