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Solved: The 75-kg climber in Fig. 4–56 is supported in the
Chapter 4, Problem 61P(choose chapter or problem)
(III) The 75-kg climber in Fig. 4-56 is supported in the “chimney” by the friction forces exerted on his shoes and back. The static coefficients of friction between his shoes and the wall, and between his back and the wall, are 0.80 and 0.60, respectively. What is the minimum normal force he must exert? Assume the walls are vertical and that friction forces are both at a maximum. Ignore his grip on the rope.
Figure 4-56 Problem 61
Questions & Answers
QUESTION:
(III) The 75-kg climber in Fig. 4-56 is supported in the “chimney” by the friction forces exerted on his shoes and back. The static coefficients of friction between his shoes and the wall, and between his back and the wall, are 0.80 and 0.60, respectively. What is the minimum normal force he must exert? Assume the walls are vertical and that friction forces are both at a maximum. Ignore his grip on the rope.
Figure 4-56 Problem 61
ANSWER:Solution 61P:
Step 1 of 2:-
Here we have to find the maximum normal force exerted by the climber.
The mass of the climber is: .
The coefficients of frictions from the left and right side are:
and
respectively.
We know that, the frictional forces can be identified as,
-----------------------(1)
Similarly,
-----------------------(2)