Christian is making a Tyrolean traverse as shown in Fig. 4-35. That is, he traverses a chasm by…

Christian is making a Tyrolean traverse as
shown in Fig. 4-35. 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 29 kN before breaking, and use a “safety factor” of 10
(that is, the rope should only be required to undergo a tension force of 2.9
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
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Christian is making a Tyrolean traverse as
shown in Fig. 4-35. 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 29 kN before breaking, and use a “safety factor” of 10
(that is, the rope should only be required to undergo a tension force of 2.9
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 72.0 kg. (b) If the Tyrolean traverse is incorrectly set up
so that the rope sags by only one fourth the distance found in (a), determine
the tension force in the rope. Will the rope break?

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