HI ALL: I should know this because I worked with it a long time ago. but I have forgotten. Here is the question.
A vertical hydraulic cylinder with the base fixed has a pulley at the end of the rod. A rope around the pulley is fixed on one side and has a load, say 100# on the other, or free, side. Because of this arrangement the force in the rope is 100#, The force on tha rope anchor is 100#, and the force on the hydraulic cylinder is 200#. The question is: If the hydrualic cylinder moves up by 2 inches. How far up does the load on the free end of the rope move?