  The resonant configurations and normal frequencies of a loaded hanging chain
that is rotating uniformly about the vertical are examined for theoretical and
experimental perspectives. The chain is assumed pinned at both ends, with an
extra load added to the lower end for stability. The equation of motion for
this system is solved and it is shown that the various resonant configurations
of the chain are described by Bessel functions of order zero. The normal
frequencies are obtained and the predictions of the model are compared to
experiment. Time-exposure photographs are presented to illustrate the shape of
the various normal modes.
