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
You know that a gyrostat suspended with perfect freedom about axes, which
all pass through its centre of gravity, maintains a constant direction in
space however its support may be carried. Its axis is not forced to alter
its direction in any way. Now this gyrostat (Fig. 17) has not the perfect
absence of friction at its axes of which I speak, and even the slightest
friction will produce some constraint which is injurious to the experiment
I am about to describe. It must be remembered, that if there were
absolutely no constraint, then, even if the {104} gyrostat were _not_
spinning, its axis would keep a constant direction in space. But the
spinning gyrostat shows its superiority in this, that any constraint due to
friction is less powerful in altering the axis. The greater the spin, then,
the better able are we to disregard effects due to friction. You have seen
for yourselves the effect of carrying this gyrostat about in all sorts of
ways--first, when it is not spinning and friction causes quite a large
departure from constancy of direction of the axis; second, when it is
spinning, and you see that although there is now the same friction as
before, and I try to disturb the instrument more than before, the axis
remains sensibly parallel to itself all the time. Now when this instrument
is supported by the table it is really being carried round by the earth in
its daily rotation. If the axis kept its direction perfectly, and it were
now pointing horizontally due east, six hours after this it will point
towards the north, but inclining downwards, six hours afterwards it will
point due west horizontally, and after one revolution of the earth it will
again point as it does now. Suppose I try the experiment, and I see that it
points due east now in this room, and after a time it points due west, and
yet I know that the gyrostat is constantly pointing in the same direction
in space all the time, surely it is obvious that the room must {105} be
turning round in space. Suppose it points to the pole star now, in six
hours, or twelve, or eighteen, or twenty-four, it will still point to the
pole star.
Public-domain text, read in full here on John Shaqi.
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