"Jim Wilkins"

Arthur C Clarke determined that a space elevator
requires a material that can support 5000 miles of
itself at 1 g, unless it tapers larger as it rises.
The gravitational pull on each part of it gradually
decreases to zero at geosynchronous altitude, where a
satellite will (almost) remain stationary over a spot
on the equator. The cable needs to extend higher to
where centrifugal force pulls a counterweight
outward, balancing the weight of the lower cable.

https://en.wikipedia.org/wiki/The_Fountains_of_Paradise

How do you apply "centrifugal force" to this
counterweight?
The satellite wants to travel in a straight line but is
drawn
toward the earth by centripetal acceleration,
"gravity". Art Clarke
is full of bull****. There is _no_ force whatsoever
acting outward.
The cable is pulling inward toward the center of
rotation.