Question49. (II) 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. 4-47. Assume the rope can provide a tension force of up to 31 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 3.1 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 4-47 Problem 49.