Problem 6 Chapter 8: A 15 kg monkey climbs a uniform ladder with weight w = 1.2 102 N and length L = 3 meters as shown in the figure. The ladder rests against the wall at an angle of 0 = 60°. The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end Fastened to the wall by a horizontal rope that is frayed and that can upport a maximum tension of only 80 N. a) Draw a force diagram for the ladder b) Find the normal force exerted by the bottom of the ladder c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder d) Find the maximum distance, d, that the monkey can climb up the ladder before the rope breaks e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts c and d? Rope

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Chapter1: Units, Trigonometry. And Vectors
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Problem 6 Chapter 8: A 15 kg monkey climbs a uniform ladder with
weight w = 1.2 10² N and length L = 3 meters as shown in the figure. The
ladder rests against the wall at an angle of 0 = 60°. The upper and lower
ends of the ladder rest on frictionless surfaces, with the lower end
fastened to the wall by a horizontal rope that is frayed and that can
support a maximum tension of only 80 N.
a) Draw a force diagram for the ladder
b) Find the normal force exerted by the bottom of the ladder
c) Find the tension in the rope when the monkey is two-thirds of
the way up the ladder
d) Find the maximum distance, d, that the monkey can climb up the
ladder before the rope breaks
e) If the horizontal surface were rough and the rope were removed,
how would your analysis of the problem be changed and what
other information would you need to answer parts c and d?
%3D
Rope
Transcribed Image Text:Problem 6 Chapter 8: A 15 kg monkey climbs a uniform ladder with weight w = 1.2 10² N and length L = 3 meters as shown in the figure. The ladder rests against the wall at an angle of 0 = 60°. The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that is frayed and that can support a maximum tension of only 80 N. a) Draw a force diagram for the ladder b) Find the normal force exerted by the bottom of the ladder c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder d) Find the maximum distance, d, that the monkey can climb up the ladder before the rope breaks e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts c and d? %3D Rope
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