Mountaineersoften use a rope to lower themselvesdown the face of a cliff (this is called rappelling).They do this with their body nearly horizontaland their feet pushing against the cliff. Suppose that an 82.0 kg climber,who is 1.90 m tall and has a center of gravity1.1 m from his feet, rappels down a verticalcliff with his body raised 35.0° above the horizontal.He holds the rope 1.40 m from his feet,and it makes a 25.0° angle with the cliff face.(a) What tension does his rope need to support?(b) Find the horizontal and vertical componentsof the force that the cliff face exerts on theclimber’s feet. (c) What minimum coefficientof static friction is needed to prevent the climber’sfeet from slipping on the cliff face if he hasone foot at a time against the cliff?

Mountaineersoften use a rope to lower themselvesdown the face of a cliff (this is called rappelling).They do this with their body nearly horizontaland their feet pushing against the cliff. Suppose that an 82.0 kg climber,who is 1.90 m tall and has a center of gravity1.1 m from his feet, rappels down a verticalcliff with his body raised 35.0° above the horizontal.He holds the rope 1.40 m from his feet,and it makes a 25.0° angle with the cliff face.(a) What tension does his rope need to support?(b) Find the horizontal and vertical componentsof the force that the cliff face exerts on theclimber’s feet. (c) What minimum coefficientof static friction is needed to prevent the climber’sfeet from slipping on the cliff face if he hasone foot at a time against the cliff?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.189RP: The tongs shown are designed for lifting blocks of ice. If the weight of the ice block is W, find...

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