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

INTRODUCTORY CHAPTER 11 Experiment 2. If the wheel is taken out of its bearings at Y, Y', and the framework held in the hands at X, X', a violent attempt tQ tilt it about Y'Y will, unless proper care is taken, result in the wheel wriggling out of the hands altogetherfor the same reason that when properly mounted just now it turned about ZZ'. It is clear that an opposite direction of spin or any attempt to tilt in the opposite direction, produces an opposite direction of turning about ZZ'. Experiment 3. Let us now take the gyroscope when the wheel is not spinning, and its axle XX' is inclined at an angle to the vertical as in Fig. xxIII., the screw at Z not being clamped. If the pedestal ZZ' is held in the hand and slowly swung round, it will be found that XX' turns round about the vertical and points in the same direction as the hand. But let a spin be given to X the wheel, and it will be seen at once that, though the hand revolves round the body, XX' remainiss always pointing in the same direction in which it pointed originally.* This stability of the axle of the X gyroscope may be employed to prove the rotation of the earth. For suppose the spin is maintained during a Z period of several hours by means of electric power, and that the gyroscope is set down in a room with its axle pointing to some particular object in ( the room. After a few hours it will be found that the axle no longer points to that object; showing, not that the axle has changed its position in space, but that the room is in a -- different position in space owing to the rotation of the earth. FIG. XXIII. Thus, if the axis is placed horizontally pointing due east, six hours later it will be pointing south (and upwards), while after another six hours it will be pointing due west (and horizontally). Experiment 4. Now, while the wheel is still spinning, let the turning movement be given to the hand when the screw at Z has been made fast. The gyroscope at once sets itself with the * The friction may not be quite negligible though very nearly so. The frictional couple at Z is probably sufficiently large to turn the frame YY' round when the wheel is not spinning, but totally inadequate when it is spinning. So much as is appreciable tends to turn it about Y'Y, as will be seen later.

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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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