Spinning Tops: The "Operatives' Lecture" of the British Association Meeting at Leeds, 6th September, 1890 — John Shaqi
Spinning Tops: The "Operatives' Lecture" of the British Association Meeting at Leeds, 6th September, 1890Perry, John
Science
Spinning Tops: The "Operatives' Lecture" of the British Association Meeting at Leeds, 6th September, 1890
Perry, John
Gyro compass; Gyroscopes; Tops
[Illustration: FIG. 32.]
[Illustration: FIG. 33.]
With your present experience the explanation of the rising of the top
becomes ridiculously simple. If you look at statement _two_ on this wall
sheet (p. 48) and reflect a little, some of you will be able, without any
elaborate mathematics, to give the simple reason for this that Thomson gave
me sixteen years ago. "Hurry on the precession, and the body rises in
opposition to gravity." Well, as I am not touching the top, and as the body
does rise, we look at once for something that is hurrying on the
precession, and we naturally look to the way in which its peg is rubbing on
the table, for, with the exception of the atmosphere this top is touching
nothing else than the table. Observe carefully how any of these objects
precesses. Fig. 32 shows the way in which a top spins. Looked at from
above, if the top is spinning in the direction of the hands of a watch, we
know from the fourth statement of our wall sheet, or by mere observation,
that it also precesses in the direction of the hands {71} of a watch; that
is, its precession is such as to make the peg roll at B into the paper. For
you will observe that the peg is rolling round a circular path on the
table, G being nearly motionless, and the axis A G A describing nearly a
cone in space whose vertex is G, above the table. Fig. 33 {72} shows the
peg enlarged, and it is evident that the point B touching the table is
really like the bottom of a wheel B B', and as this wheel is rotating, the
rotation causes it to roll _into_ the paper, away from us. But observe that
its mere precession is making it roll _into_ the paper, and that the spin
if great enough wants to roll the top faster than the precession lets it
roll, so that it hurries on the precession, and therefore the top rises.
That is the simple explanation; the spin, so long as it is {73} great
enough, is always hurrying on the precession, and if you will cast your
recollection back to the days of your youth, when a top was supported on
your hand as this is now on mine (Fig. 34), and the spin had grown to be
quite small, and was unable to keep the top upright, you will remember that
you dexterously helped the precession by giving your hand a circling motion
so as to get from your top the advantages as to uprightness of a slightly
longer spin.
[Illustration: FIG. 34.]
Public-domain text, read in full here on John Shaqi.
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