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Answer: The 100-lb boy at A is suspended from the cable
Chapter 8, Problem 8-86(choose chapter or problem)
The 100-lb boy at A is suspended from the cable that passes over the quarter circular cliff rock. Determine if it is possible for the 185-lb woman to hoist him up; and if this is possible, what smallest force must she exert on the horizontal cable? The coefficient of static friction between the cable and the rock is \(\mu_{\mathrm{s}}\) = 0.2, and between the shoes of the woman and the ground \(\mu’_{\mathrm{s}}\) = 0.8.
Questions & Answers
QUESTION:
The 100-lb boy at A is suspended from the cable that passes over the quarter circular cliff rock. Determine if it is possible for the 185-lb woman to hoist him up; and if this is possible, what smallest force must she exert on the horizontal cable? The coefficient of static friction between the cable and the rock is \(\mu_{\mathrm{s}}\) = 0.2, and between the shoes of the woman and the ground \(\mu’_{\mathrm{s}}\) = 0.8.
ANSWER:
Step 1 of 5
In this problem, we want to determine if it is possible for the woman to lift the boy at and the minimum force required to do it. The given data are as follows:
- , the weight of the boy at
- , the weight of the woman
-, the coefficient of friction between the rope and the rock
- , the coefficient of friction between the shoes of the woman and the ground
- The rope passes over a quarter of the circular cliff.