Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff (Figure 1). Suppose that an 78.6-kg climber, who is 1.88 m tall and has a center of gravity 1.0 m from his feet, rappels down a vertical cliff with his body raised 40.4° above the horizontal. He holds the rope 1.54 m from his feet, and it makes a 20.7 angle with the cliff face.

College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A. What tension does his rope need to support

b. Find the horizontal component of the force that the cliff face exerts on the climbers feet

c. Find the vertical component of the force at the cliff face exerts on the climbers feet

D. 

vellum.ecollege.com/course.html?courseld=17313546&OpenVellumHMAC=b3:
Mountaineers often use a rope to lower themselves
down the face of a cliff (this is called rappelling). They
do this with their body nearly horizontal and their feet
pushing against the cliff (Figure 1). Suppose that an
78.6-kg climber, who is 1.88 m tall and has a center of
gravity 1.0 m from his feet, rappels down a vertical cliff
with his body raised 40.4 above the horizontal. He
holds the rope 1.54 m from his feet, and it makes a
20.7° angle with the cliff face.
Figure
< 1 of 1
Transcribed Image Text:vellum.ecollege.com/course.html?courseld=17313546&OpenVellumHMAC=b3: Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff (Figure 1). Suppose that an 78.6-kg climber, who is 1.88 m tall and has a center of gravity 1.0 m from his feet, rappels down a vertical cliff with his body raised 40.4 above the horizontal. He holds the rope 1.54 m from his feet, and it makes a 20.7° angle with the cliff face. Figure < 1 of 1
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