Recently, I've encountered a really curious thing, namely:
Support in the air a straight stick of length, say, 1 meter, using your index fingers in such a way that the left one is e.g. 30cm from the center of mass and the right one is e.g. 20cm. Now start slowly moving your fingers to each other.
I noticed that the fingers always meet at the point where the center of mass is. What is the physics explanation for this?
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