Sag angle Imagine a climber clipping onto the rope

Chapter 6, Problem 68

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Sag angle Imagine a climber clipping onto the rope described in Example 7 and pulling himself to the ropes midpoint. Because the rope is supporting the weight of the climber, it no longer takes the shape of the catenary y = 200 cosh1x>2002. Instead, the rope (nearly) forms two sides of an isosceles triangle. Compute the sag angle u illustrated in the figure, assuming that the rope does not stretch when weighted. Recall from Example 7 that the length of the rope is 101 ft. y 100 Sag angle _ _50 50 x

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