For this part of my project I used a capstan equation which relates the loads on either side of a cylinder (like the climbing anchor) when bound with a flexible rope (like climbing rope). Using this equation and the force equation we can find the Force acting on the belayer when a climber (62 kg, avg weight of person) has fallen and is at rest. When the climber is at rest the belayer has 110 N of force acting on them. If you look at the picture on the left you can see the basic top rope belay system we are analyzing. The belayer's rope is looped through a device called an ATC which has lots of friction allowing the belayer to easily hold the climber and preventing the rope from slipping and the climber from falling.