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Fig wright (talk | contribs) Clarify difference between diagram and video! Tags: Mobile edit Mobile web edit Advanced mobile edit |
Fig wright (talk | contribs) Space Tags: Mobile edit Mobile web edit Advanced mobile edit |
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The theorem describes the following effect: rotation of an object around its first and third [[Moment of inertia#Principal axes|principal axes]] is stable, while rotation around its second principal axis (or intermediate axis) is not.
This can be demonstrated with the following experiment: hold a tennis racket at its handle, with its face being horizontal, and try to throw it in the air so that it will perform a full rotation around the horizontal axis perpendicular to the handle (ê<sub>2</sub> in the diagram, ê<sub>1</sub> in the video), and try to catch the handle. In almost all cases, during that rotation the face will also have completed a half rotation, so that the other face is now up. By contrast, it is easy to throw the racket so that it will rotate around the handle axis (ê<sub>1</sub> in the diagram) without accompanying half-rotation around another axis; it is also possible to make it rotate around the vertical axis perpendicular to the handle (ê<sub>3</sub> in the diagram) without any accompanying half-rotation.
The experiment can be performed with any object that has three different moments of inertia, for instance with a book, remote control, or smartphone. The effect occurs whenever the [[axis of rotation]] differs only slightly from the object's second principal axis; air resistance or gravity are not necessary.<ref>{{Cite book |url={{google books|plainurl=yes|id=uVSYswEACAAJ|page=151}} |title=Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction |last=Levi |first=Mark |publisher=American Mathematical Society |year=2014 |isbn=9781470414443 |pages=151–152}}</ref>
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