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The quadriceps tendon attaches to the tibia at a 30°angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? What is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Neglect the weight of the leg and the action of other muscles.)

The quadriceps tendon attaches to the tibia at a 30°angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? What is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Neglect the weight of the leg and the action of other muscles.)

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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The quadriceps tendon attaches to the tibia at a 30°angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? What is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Neglect the weight of the leg and the action of other muscles.) 

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The image illustrates a lever arm mechanism, representing a forearm in biomechanics, with forces and measurements detailed for educational purposes. **Diagram Details:** 1. **Forearm Structure:** - The diagram shows a simplified representation of an arm with a focus on the bone and joint. 2. **Forces Acting on the Forearm:** - **\( F_m \):** The muscle force applied at the elbow, indicated by an arrow pointing diagonally upwards at a 30° angle from the horizontal. - **\( R \):** The reaction force at the elbow joint, shown by an arrow pointing horizontally to the left. - **Load Force (80 N):** A downward force at the hand, represented by an arrow pointing vertically downward, with a magnitude of 80 Newtons. 3. **Measurements:** - **Distance from Elbow to Muscle Force (\( F_m \)):** 0.04 meters. - **Distance from Elbow to Load Force:** 0.28 meters. **Discussion:** This diagram is useful for analyzing the biomechanics of the arm, specifically how different forces interact at the elbow joint during the lifting of a weight. By understanding the lever mechanics and forces involved, one can calculate the required muscle force (\( F_m \)) needed to counterbalance the load (80 N), and analyze the joint reaction force (\( R \)). This information is crucial for designing ergonomic tools or for clinical assessments in physical therapy and sports science.
Transcribed Image Text:The image illustrates a lever arm mechanism, representing a forearm in biomechanics, with forces and measurements detailed for educational purposes. **Diagram Details:** 1. **Forearm Structure:** - The diagram shows a simplified representation of an arm with a focus on the bone and joint. 2. **Forces Acting on the Forearm:** - **\( F_m \):** The muscle force applied at the elbow, indicated by an arrow pointing diagonally upwards at a 30° angle from the horizontal. - **\( R \):** The reaction force at the elbow joint, shown by an arrow pointing horizontally to the left. - **Load Force (80 N):** A downward force at the hand, represented by an arrow pointing vertically downward, with a magnitude of 80 Newtons. 3. **Measurements:** - **Distance from Elbow to Muscle Force (\( F_m \)):** 0.04 meters. - **Distance from Elbow to Load Force:** 0.28 meters. **Discussion:** This diagram is useful for analyzing the biomechanics of the arm, specifically how different forces interact at the elbow joint during the lifting of a weight. By understanding the lever mechanics and forces involved, one can calculate the required muscle force (\( F_m \)) needed to counterbalance the load (80 N), and analyze the joint reaction force (\( R \)). This information is crucial for designing ergonomic tools or for clinical assessments in physical therapy and sports science.
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