Geometry, Mechanics, and Control in Action for the Falling Cat
Toshihiro Iwai
Broschiertes Buch

Geometry, Mechanics, and Control in Action for the Falling Cat

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The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can almost always land on their feet when tossed into the air in an upside-down attitude. If cats are not given a non-vanishing angular momentum at an initial instant, they cannot rotate during their motion, and the motion they can make in the air is vibration only. However, cats accomplish a half turn without rotation when landing on their feet. In order to solve this apparent mystery, one needs to thoroughly understand rotations and vibrations. The conne...