In the figure a 51 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.30 m, and the center of mass of the climber is a horizontal distance d = 0.30 m from the fissure. The coefficient of static friction between hands and rock is µ₁ = 0.40, and between boots and rock it is µ2 = 1.10. The climber adjusts the vertical distance h between hands and feet until the (identical) pull by the hands and push by the feet is the least that keeps him from slipping down the fissure. (He is on the verge of sliding.) (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) What is the value of h? (a) Number Units (b) Number Units com

In the figure a 51 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.30 m, and the center of mass of the climber is a horizontal distance d = 0.30 m from the fissure. The coefficient of static friction between hands and rock is µ₁ = 0.40, and between boots and rock it is µ2 = 1.10. The climber adjusts the vertical distance h between hands and feet until the (identical) pull by the hands and push by the feet is the least that keeps him from slipping down the fissure. (He is on the verge of sliding.) (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) What is the value of h? (a) Number Units (b) Number Units com

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 76PQ: Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to...

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a 55 kg rock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width w = 0.20 m, and the center of mass of the climber is a horizontal distance d = 0.40 m from the fissure. The coefficient of static friction between hands and rock is m1 = 0.40, and between boots and rock it is m2 = 1.2. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet? If the climber encounters wet rock, so that m1 and m2 are reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?
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