Question

A flexible massless rope is placed over a cylinder of radius R. A tension T is applied to
each end of the rope, which remains stationary (see the figure below). Show that each
small segment dθ of the rope in contact with the cylinder pushes against the cylinder with
a force T dθ in the radial direction. By integration of the forces exerted by all the small
segments, show that the net vertical force on the cylinder is 2T and the net horizontal
force is zero