The trying trough
A small bead is attached to the perimeter of a hoop of radius
. The mass of the hoop and the bead are the same. The hoop is placed in a cylindrical trough of radius
,such that the bead is at the top of the hoop.
Find the greatest value of the ratio
such that the hoop-bead system performs SHM when displaced slightly to one side.
The answer is 2.
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