An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.

INTRODUCTORY CHAPTER 7 rise up on their longest axis, in which position they remain spinning violently, though otherwise stationary on the road. What seems at the present time to be a favourite form of whiptop with children in the streets is an instance of the same thing. It is, roughly, in the shape of a large acorn with a thick cap to it. In whatever position it is first put down on the road violent lashing will always make it rise on to its longest axis, and continued lashing causes it to continue to spin in that position. Celts. Figs. xi., xiI., xiii. (see Plate I.) represent three celts, stone implements used in times past by primitive man for cutting or cleaving, and now discovered from time to time in ancient barrows (Latin: Celtis, a chisel). They provide typical instances of the curious phenomena exhibited by all smooth celts when spun on a smooth horizontal surface (such as a sheet of glass). Let us perform the same experiment on each in turn and note the results. In each case, the stone being considered at rest, GAB is a horizontal section (very roughly elliptical) through the centre of gravity G, and GA, GB, GC are mutually at right angles. FIG. XI. (See end of book.) (a) If a vertical downward tap be applied at A the stone will rock about GB, and if the tap be applied at B the rocking will be about GA. (b) If spun about the vertical GC the stone will continue to spin steadily about GC until brought to rest by friction. These results are what we should ordinarily expect. But now let us consider the other two celts. FIG. XII. (a) When a vertical downward tap is applied through A the stone oscillates and then begins, almost immediately, to rotate from A to B; but if the tap be applied at B, the stone, after a moment's oscillation, begins to rotate from B to A. (b) If spun in either direction it will begin to oscillate and gradually reverse its direction of spin. FIG. XIII. (a) A vertical downward tap through A or B sets the stone rotating in the direction from A to B. (b) If spun in the direction A to B it will continue to spin steadily in that direction; but if spun in the direction B to A the stone will oscillate violently and eventually reverse its direction of spin, i.e. will spin in the direction A to B.

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Title
An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
Author
Crabtree, Harold.
Canvas
Page 7
Publication
London,: Longmans, Green, and co.,
1909.
Subject terms
Tops
Gyroscopes

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"An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abr4615.0001.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.
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