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The man has a mass of 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of static friction between his shoes and the rock is u) = 0.4 and between his backside and the rock, = 0.3, determine the smallest horizontal force his body must exert on the rock in order to do this.

The man has a mass of 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of static friction between his shoes and the rock is u) = 0.4 and between his backside and the rock, = 0.3, determine the smallest horizontal force his body must exert on the rock in order to do this.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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 4-79. The man has a mass of 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of static friction between his shoes and the rock is u) = 0.4 and between his backside and the rock, = 0.3, determine the smallest horizontal force his body must exert on the rock in order to do this.

**Problem 4-79: Friction and Force in Vertical Climbing** A man, who has a mass of 40 kg, plans to scale a vertical crevice using the technique illustrated in the image. The objective is to determine the smallest horizontal force his body must exert on the rock to successfully climb it. The coefficients of static friction are given as follows: 0.4 between his shoes and the rock, and 0.3 between his backside and the rock. **Diagram Description:** - The man is shown in a squatting position between two vertical walls, using his legs and back to exert force horizontally against the surfaces. - The dimensions marked indicate a distance of 0.2 meters between his feet and the wall, and the length of his body from his feet to his back against the rock is 1.25 meters. - There is an upward arrow next to the man's body marked with a force of 56 N, indicating the direction of one of the components of force. **Calculations:** To solve the problem, analyze the forces involved using physics principles: - The total vertical force supporting the man is equal to his weight, which is mass (40 kg) multiplied by gravity (9.81 m/s²). - The static friction forces can be calculated using the normal forces and the given coefficients of static friction. - Balance the forces horizontally and vertically and solve for the minimum horizontal force required.
Transcribed Image Text:**Problem 4-79: Friction and Force in Vertical Climbing** A man, who has a mass of 40 kg, plans to scale a vertical crevice using the technique illustrated in the image. The objective is to determine the smallest horizontal force his body must exert on the rock to successfully climb it. The coefficients of static friction are given as follows: 0.4 between his shoes and the rock, and 0.3 between his backside and the rock. **Diagram Description:** - The man is shown in a squatting position between two vertical walls, using his legs and back to exert force horizontally against the surfaces. - The dimensions marked indicate a distance of 0.2 meters between his feet and the wall, and the length of his body from his feet to his back against the rock is 1.25 meters. - There is an upward arrow next to the man's body marked with a force of 56 N, indicating the direction of one of the components of force. **Calculations:** To solve the problem, analyze the forces involved using physics principles: - The total vertical force supporting the man is equal to his weight, which is mass (40 kg) multiplied by gravity (9.81 m/s²). - The static friction forces can be calculated using the normal forces and the given coefficients of static friction. - Balance the forces horizontally and vertically and solve for the minimum horizontal force required.
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