FYKOS Year 32 Series 6 Problem 4 — rope · FYKOS 32 #32.6.4
Physics · mechanics
Problem
A rope is hanging over the football goal crossbar (a horizontal cylindrical pole). When one of the rope ends is at least three times longer than the other one (the rope is hanging freely, not touching the ground), the rope spontaneously starts to slip off the crossbar. Now, we wrap the rope once around the crossbar (i.e. the rope wraps an angle of 540\dg). How many times can the one end of the rope be longer than the other one so that the rope does not slip?