In the figure a 54 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 = 0.45 m from the fissure. The coefficient of static friction between hands and rock is μ₁ = 0.30, and between boots and rock it is μ2 = 1.15. 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 i 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
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In the figure a 54 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 = 0.45 m from the fissure. The coefficient of static friction between hands and rock is μ₁ = 0.30, and between boots
and rock it is μ2 = 1.15. 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 i
Units
com
<>
<>
Transcribed Image Text:In the figure a 54 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 = 0.45 m from the fissure. The coefficient of static friction between hands and rock is μ₁ = 0.30, and between boots and rock it is μ2 = 1.15. 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 i Units com <> <>
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