Bob 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, Fig. 4–65. 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). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one- fourth the distance found in (a), determine the tension force in the rope. Will the rope break? FIGURE 4–65 Problem 74.

Bob 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, Fig. 4–65. 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). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one- fourth the distance found in (a), determine the tension force in the rope. Will the rope break? FIGURE 4–65 Problem 74.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Bob 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, Fig. 4–65. 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). (a) If Bob's
mass is 72.0 kg, determine the distance x that the rope
must sag at a point halfway across if it is to be within its
recommended safety range. (b) If the rope sags by only one-
fourth the distance found in (a), determine the tension
force in the rope. Will the rope break?
FIGURE 4–65 Problem 74.

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