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The American Death Triangle is a particularly bad method of anchoring a rope at

ID: 1828807 • Letter: T

Question

                

                    The American Death Triangle is a particularly bad method of anchoring a rope at the top of a cliff in order to rappel down the rock face. It                     consists of a single piece of cable/strap/rope looped through three carabiners and tied to itself. The top anchors are bolted to the rock. The bottom carabiner                     carries the climber

                

                    The American Death Triangle is a particularly bad method of anchoring a rope at the top of a cliff in order to rappel down the rock face. It                     consists of a single piece of cable/strap/rope looped through three carabiners and tied to itself. The top anchors are bolted to the rock. The bottom carabiner                     carries the climber

The American Death Triangle is a particularly bad method of anchoring a rope at the top of a cliff in order to rappel down the rock face. It consists of a single piece of cable/strap/rope looped through three carabiners and tied to itself. The top anchors are bolted to the rock. The bottom carabiner carries the climber's weight. a) Solve for the tension in the cable/strap/rope, T, as a function of climber weight, W, and bottom angle, theta. At what angle theta will the tension in the cable/strap/rope equal the weight of the climber? What is the maximum climber weight (N) allowable if the bottom angle theta = 100 degree before failure of a wall bolt? (Assume failure occurs at 1.5 kN and the bolt will be destroyed causing the climber failing to his/her death)

Explanation / Answer

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