Question

Christian is making a Tyrolean traverse as shown in the figure. That is, he traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away. The rope must sag sufficiently so it won't break. Assume the rope can provide a tension force of up to 26 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.6 kN ) at the center of the Tyrolean traverse.

(a) Determine the distance x that the rope must sag if it is to be within its recommended safety range and Christian's mass is 71.0 kg .

(b) If the Tyrolean traverse is incorrectly set up so that the rope sags by only one-fourth the distance found in part A, determine the tension force in the rope.

(c) will the rope break?

Answer 1