Disclosed herein are ropes containing bundles of filaments, where each bundle includes at least 70% by volume of liquid crystal polymer filaments, and where at least one bundle includes liquid crystal polymer filaments of at least 10 denier per filament in size. Also disclosed herein are methods of pulling or lifting an object by applying tension to such a rope connected to the object, where the rope is arranged over a sheave or a non-rotating guide surface, and a ratio of a diameter of the sheave or an effective diameter of the non-rotating guide surface, D, to a diameter of the rope, d, is at least 20:1.