Lord Kelvin: An account of his scientific life and workGray, Andrew
Science
Lord Kelvin: An account of his scientific life and work
Gray, Andrew
Kelvin, William Thomson, Baron, 1824-1907
If the fly-wheel be not in rotation, the experimenter can carry the
arrangement about, and the fly-wheel and case move with it as if the
gyrostat were merely an ordinary rigid body. But now remove the
gyrostat from the frame, and set the wheel in rotation. This is done by
an endless cord wrapped round a small pulley fast on the axle (to which
access is obtained by a hole just opposite in the case) and passed also
round a larger pulley on the shaft of a motor. When the motor is started
the cord must be tightened only very gently at first, so that it slips
on the pulley, otherwise the motor would be retarded, and possibly
burned by the current. The fly-wheel gradually gets up speed, and then
the cord can be brought quite tight so that no slipping occurs. When the
speed is great enough the cord is cut with a stroke from a sharp knife
and runs out.
The gyrostat is now replaced on its pivots in the frame, with its axis
vertical, and moved about as it was before. If the experimenter, holding
the frame as shown, turns round in the direction of the arrow, which is
that of rotation, nothing happens. If, however, he turns round the other
way, the gyrostat immediately turns on its pivots so as to point the
other end of the axis up. If the experimenter continues his turning
motion, the gyrostat is now quiescent: for it is being carried round now
in the direction of rotation. Thus, with no gravitational stability at
all (since the centre is on a level with the pivots) the gyrostat is in
stable equilibrium when carried round in the direction of rotation, but
is in unstable equilibrium when carried round the opposite way.
Thus, if the observer knew nothing of the rotation of the fly-wheel, and
could see and feel only the outside of the case, the behaviour of the
instrument might well appear very astonishing.
This is a case of what Thomson and Tait call "gyrostatic domination,"
which is treated very fully in their Sections 345 (vi) to 345 (xxviii)
of Part I. It may be remarked here that this case of motion may be
easily treated mathematically in an exceedingly elementary manner, and
the instability of the one case, and the stability of the other, made
clear to the beginner who has only a notion of the composition of
angular momenta about different axes.
Public-domain text, read in full here on John Shaqi.
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