In a mountain-climbing technique called the
Chapter 12, Problem 12.96(choose chapter or problem)
In a mountain-climbing technique called the Tyroleantraverse, a rope is anchored on both ends (to rocks or strongtrees) across a deep chasm, and then a climber traverses therope while attached by a sling as in Fig. 12-102. This techniquegenerates tremendous forces in the rope and anchors,so a basic understanding of physics is crucial for safety. Atypical climbing rope can undergo a tension force of perhaps29 kN before breaking, and a safety factor of 10 is usuallyrecommended. The length of rope used in the Tyroleantraverse must allow for some sag to remain in the recommendedsafety range. Consider a 75-kg climber at the centerof a Tyrolean traverse, spanning a 25-m chasm, (a) To bewithin its recommended safety range, what minimumdistance x must the rope sag? (b) If the Tyrolean traverse isset up incorrectly so that the rope sags by only one-fourththe distancefound in (a),determine thetension in therope. Will therope break?FIGURE 12-102 96.
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