**Climber's Static Equilibrium Analysis** **Context:** A climber (mass = 52 kg) is maintaining her posture while grabbing onto a rock at P3 and reaching for the wall with her right hand (without contact). The rock at P1 applies a force of 187.4 N at an angle of 140.2 degrees from the positive x-axis on her right foot at P1. The rock at P2 and the climber's pants have a coefficient of static friction of 0.78, and the y-component of the force of the rock on her pants is 144.0 N upward. The rocks at P1 and P2 are vertical surfaces, and the friction forces acting at P1 and P2 are as large as friction will allow. Analyze the forces in the frontal plane as shown and show mechanical rationale for each question. **Questions:** a) What is the net interaction of her left hand on the rock at P3? b) Which surface (P1 or P2) has a lower coefficient of static friction? If she took off her shoes and tried to hold this position with her socks (coefficient of static friction of her socks and rock is 0.78), will she be able to maintain static equilibrium? c) Which muscles/ligaments need to be activated or be under tension at her right knee? Knee flexors, knee extensors, LCL, MCL? The picture shows the back portion of her leg. **Diagram Explanation:** 1. **Image Description:** - A climber is positioned on a climbing wall, holding onto a green rock at P3 with her left hand. Her legs are spread to maintain balance, with the right foot on a green rock at P1 and the left foot on a yellow rock at P2. 2. **Measurements:** - The distance from P1 to the center of mass (CM) is 0.600 meters horizontally and 0.240 meters vertically. - The distance from P2 to the center of mass (CM) is 0.388 meters horizontally and 0.064 meters vertically. - The distance from P3 to the center of mass (CM) is 0.280 meters horizontally and vertically. 3. **Graphical Elements:** - The x and y axes are marked, with positive directions illustrated. - Dashed lines indicate measured distances between points P1, P2
**Climber's Static Equilibrium Analysis** **Context:** A climber (mass = 52 kg) is maintaining her posture while grabbing onto a rock at P3 and reaching for the wall with her right hand (without contact). The rock at P1 applies a force of 187.4 N at an angle of 140.2 degrees from the positive x-axis on her right foot at P1. The rock at P2 and the climber's pants have a coefficient of static friction of 0.78, and the y-component of the force of the rock on her pants is 144.0 N upward. The rocks at P1 and P2 are vertical surfaces, and the friction forces acting at P1 and P2 are as large as friction will allow. Analyze the forces in the frontal plane as shown and show mechanical rationale for each question. **Questions:** a) What is the net interaction of her left hand on the rock at P3? b) Which surface (P1 or P2) has a lower coefficient of static friction? If she took off her shoes and tried to hold this position with her socks (coefficient of static friction of her socks and rock is 0.78), will she be able to maintain static equilibrium? c) Which muscles/ligaments need to be activated or be under tension at her right knee? Knee flexors, knee extensors, LCL, MCL? The picture shows the back portion of her leg. **Diagram Explanation:** 1. **Image Description:** - A climber is positioned on a climbing wall, holding onto a green rock at P3 with her left hand. Her legs are spread to maintain balance, with the right foot on a green rock at P1 and the left foot on a yellow rock at P2. 2. **Measurements:** - The distance from P1 to the center of mass (CM) is 0.600 meters horizontally and 0.240 meters vertically. - The distance from P2 to the center of mass (CM) is 0.388 meters horizontally and 0.064 meters vertically. - The distance from P3 to the center of mass (CM) is 0.280 meters horizontally and vertically. 3. **Graphical Elements:** - The x and y axes are marked, with positive directions illustrated. - Dashed lines indicate measured distances between points P1, P2
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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Transcribed Image Text:**Climber's Static Equilibrium Analysis**
**Context:**
A climber (mass = 52 kg) is maintaining her posture while grabbing onto a rock at P3 and reaching for the wall with her right hand (without contact). The rock at P1 applies a force of 187.4 N at an angle of 140.2 degrees from the positive x-axis on her right foot at P1. The rock at P2 and the climber's pants have a coefficient of static friction of 0.78, and the y-component of the force of the rock on her pants is 144.0 N upward. The rocks at P1 and P2 are vertical surfaces, and the friction forces acting at P1 and P2 are as large as friction will allow. Analyze the forces in the frontal plane as shown and show mechanical rationale for each question.
**Questions:**
a) What is the net interaction of her left hand on the rock at P3?
b) Which surface (P1 or P2) has a lower coefficient of static friction? If she took off her shoes and tried to hold this position with her socks (coefficient of static friction of her socks and rock is 0.78), will she be able to maintain static equilibrium?
c) Which muscles/ligaments need to be activated or be under tension at her right knee? Knee flexors, knee extensors, LCL, MCL? The picture shows the back portion of her leg.
**Diagram Explanation:**
1. **Image Description:**
- A climber is positioned on a climbing wall, holding onto a green rock at P3 with her left hand. Her legs are spread to maintain balance, with the right foot on a green rock at P1 and the left foot on a yellow rock at P2.
2. **Measurements:**
- The distance from P1 to the center of mass (CM) is 0.600 meters horizontally and 0.240 meters vertically.
- The distance from P2 to the center of mass (CM) is 0.388 meters horizontally and 0.064 meters vertically.
- The distance from P3 to the center of mass (CM) is 0.280 meters horizontally and vertically.
3. **Graphical Elements:**
- The x and y axes are marked, with positive directions illustrated.
- Dashed lines indicate measured distances between points P1, P2
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