A 10.0-kg monkey climbs a unform ladder with weight w1.09 x 10 Nand lengthL340 mas shon in the figure belo. The ladder rests against the wall at an angle of 60. The upper and lover ends of the ladder rest on frictionless surfaces. with the lower end fastened to the wall by a horiaontal rope that is frayed and that can support a maximum tension of enly 80.0 N. (a) Drawa force diagram for the ladder. (Submit a fle with a maimum sie of : MB.) (b) Find the normal force eerted on the bottom of the ladder (e) Find the tension in the N the monkey is bethirds of the way vo the ladden (d) Find the maximum distance d that the monkey can cimb up the ladder before the rope breaks. (e) f the horiaontal 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 anser Parts (c) and (d)?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
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A 10.0-kg monkey climbs a uniform ladder with weight w = 1.09 x 10 N and length L = 3.40 m as shown in the figure below. The ladder rests against the wall at an angle of 6 = 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 80.0 N.
Rope
(a) Draw a force diagram for the ladder. (Submit a file with a maximum size of 1 MB.)
(b) Find the normal force exerted on the bottom of the ladder.
N
(c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder.
N
(d) Find the maximum distance
that the monkey can climb up the ladder before the rope breaks.
m
(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)?
Transcribed Image Text:A 10.0-kg monkey climbs a uniform ladder with weight w = 1.09 x 10 N and length L = 3.40 m as shown in the figure below. The ladder rests against the wall at an angle of 6 = 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 80.0 N. Rope (a) Draw a force diagram for the ladder. (Submit a file with a maximum size of 1 MB.) (b) Find the normal force exerted on the bottom of the ladder. N (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. N (d) Find the maximum distance that the monkey can climb up the ladder before the rope breaks. m (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)?
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