An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (?Fig. P5.60?). The rope will break if the tension in it exceeds 2.50 X 104 N, and our hero’s mass is 90.0 kg. (a) If the angle ? is 10.0o, what is the tension in the rope? (b) What is the smallest value ? can have if the rope is not to break?

Solution 56P Let us have a look at the free body diagram as shown below. Let T be the tension in each part of the rope, for the one to his left and right. On resolving the components of tension, we get 0 Weight = 2Tsin 10 90 × 9.8 N = 2T × 0.173 882 N = T × 0.346 T = 2549 N (a) The approximate tension in the rope...