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Consider the 53.0 kg mountain climber in the figure.   (a) Find the tension in the rope (in N) and the force (in N) that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope N   force on feet N   (b) What is the minimum coefficient of friction between her shoes and the cliff?

Consider the 53.0 kg mountain climber in the figure.   (a) Find the tension in the rope (in N) and the force (in N) that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope N   force on feet N   (b) What is the minimum coefficient of friction between her shoes and the cliff?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Consider the 53.0 kg mountain climber in the figure.
 
(a) Find the tension in the rope (in N) and the force (in N) that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms.
tension in rope N
 
force on feet N
 
(b) What is the minimum coefficient of friction between her shoes and the cliff?
In the diagram, we see an individual rock climbing, attached to a rope that forms an angle of 31° with a vertical rock face. The climber is leaning back at an angle of 15° from the horizontal surface, and this angle is indicated near the climber’s waist and legs. Several forces are acting on the climber: 1. **Tension in the Rope (\( \vec{T} \))**: - The rope is attached to the climber’s harness and pulls upward and slightly inward due to its angle. This tension is crucial for supporting the climber’s weight. 2. **Force from the Legs (\( \vec{F}_{\text{legs}} \))**: - This force represents the push against the rock face from the climber’s legs. It is depicted by an arrow pointing from the feet towards the rock, indicating the direction of the force exerted by the legs. The illustration effectively demonstrates the physics involved in rock climbing, highlighting the importance of the angles and forces that must be managed for effective and safe climbing.
Transcribed Image Text:In the diagram, we see an individual rock climbing, attached to a rope that forms an angle of 31° with a vertical rock face. The climber is leaning back at an angle of 15° from the horizontal surface, and this angle is indicated near the climber’s waist and legs. Several forces are acting on the climber: 1. **Tension in the Rope (\( \vec{T} \))**: - The rope is attached to the climber’s harness and pulls upward and slightly inward due to its angle. This tension is crucial for supporting the climber’s weight. 2. **Force from the Legs (\( \vec{F}_{\text{legs}} \))**: - This force represents the push against the rock face from the climber’s legs. It is depicted by an arrow pointing from the feet towards the rock, indicating the direction of the force exerted by the legs. The illustration effectively demonstrates the physics involved in rock climbing, highlighting the importance of the angles and forces that must be managed for effective and safe climbing.
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