Inverting Pop Tops
Inverting Pop Tops
Instructions:
With the
hemispherical bottom downward, spin the stem of this top and release it onto a
flat surface. The top will spin
for a few moments and then mysteriously invert so that it continues spinning on
its stem with the heavier hemispherical bottom lifted. Jearl Walker in Roundabout, The
Physics of Rotation in the Everyday World (W. H. Freeman and Company) describes this top as "the
most fascinating top I have ever encountered."
Explanation:
When the top is
spun, the frictional force on the hemispherical bottom causes the top to start
precessing. This sliding
frictional force creates a torque on the spinning mass, which causes the top to
invert. A hard-boiled egg can also
be used to show this phenomenon. When the egg is spun on its side, it will rise up to spin on its end.
Jearl Walker
writes in the October 1979 issue of Scientific American:
The
motion appears to violate the law of conservation of energy because the top
seems to raise its center of mass (which is in the spherical section) without
outside help.
The
top has long fascinated observers, including several distinguished physicists
and mathematicians. In a recent
paper, Richard J. Cohen of the Massachusetts Institute of Technology describes
how William Thomson (the eminent physicist better known as Lord Kelvin) spent
his time spinning smooth stones on the beach instead of preparing for his
mathematical examination at the University of Cambridge. Later Niels Bohr, who developed the
first modern model of the hydrogen atom, became similarly entranced with the
mechanics of the Tippe Top.
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