Also called a skipping rope. Let a rope of length and ends a distance b apart along the x-axis have linear mass density . Now rotate the rope about the x-axis at angular velocity . Ignore
gravity, let T be the tension on the rope, and be the angle the rope tangent makes with the
x-axis. Then
Integrating (1) gives
where H is the constant horizontal force holding the end of the rope in place. Then (1) can be written
© 1996-2007 Eric W. Weisstein
