A uniform rope with length L and mass m is held at one end and
whirled in a horizontal circle with angular velocity w. You can
ignore the force of gravity on the rope. (a) At a point on the rope a
distance r from the end that is held, what is the tension F? (b) What
is the speed of transverse waves at this point? (c) Find the time
required for a transverse wave to travel from one end of the rope to
the other.