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The maximum mass mm that a person can hold in a hand when the arm is positioned with a 105∘∘ angle at the elbow as shown in (Figure 1) is 23 kgkg . Assume the forearm and hand have a total mass of 2.0 kgkg with a CG that is 15 cmcm from the elbow, and that the biceps muscle attaches 5.0 cmcm from the elbow.

The maximum mass mm that a person can hold in a hand when the arm is positioned with a 105∘∘ angle at the elbow as shown in (Figure 1) is 23 kgkg . Assume the forearm and hand have a total mass of 2.0 kgkg with a CG that is 15 cmcm from the elbow, and that the biceps muscle attaches 5.0 cmcm from the elbow.

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
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The maximum mass mm that a person can hold in a hand when the arm is positioned with a 105∘∘ angle at the elbow as shown in (Figure 1) is 23 kgkg . Assume the forearm and hand have a total mass of 2.0 kgkg with a CG that is 15 cmcm from the elbow, and that the biceps muscle attaches 5.0 cmcm from the elbow.

**Diagram Explanation: Anatomy and Physics of the Arm** This diagram illustrates the biomechanics of the human arm, highlighting the forces at play. - **Arm Position**: The diagram shows an arm bent at the elbow, forming an angle of 105°. - **Forces Illustrated**: - **F_max (Force Maximum)**: This force is directed upwards at the elbow, representing the maximum force exerted by the muscles. - **Weight Force**: A downward force labeled as \((2.0 \text{ kg}) \cdot \mathbf{g}\), where \( \mathbf{g} \) is the acceleration due to gravity. It acts at a point 15 cm from the elbow, symbolizing the gravitational force on a 2.0 kg mass being held. - **Distances**: - The distance from the elbow joint to the point where the maximum muscle force is applied is 5.0 cm. - The point of the gravitational pull on the mass is 15 cm from the elbow. - The total arm length from the shoulder to the hand holding the mass is 35 cm. **Educational Context**: This diagram can be used in educational settings to explain the concepts of muscle force, torque, and leverage in biomechanics. It demonstrates how muscles work to counteract external forces, allowing the arm to maintain its position while holding an object.
Transcribed Image Text:**Diagram Explanation: Anatomy and Physics of the Arm** This diagram illustrates the biomechanics of the human arm, highlighting the forces at play. - **Arm Position**: The diagram shows an arm bent at the elbow, forming an angle of 105°. - **Forces Illustrated**: - **F_max (Force Maximum)**: This force is directed upwards at the elbow, representing the maximum force exerted by the muscles. - **Weight Force**: A downward force labeled as \((2.0 \text{ kg}) \cdot \mathbf{g}\), where \( \mathbf{g} \) is the acceleration due to gravity. It acts at a point 15 cm from the elbow, symbolizing the gravitational force on a 2.0 kg mass being held. - **Distances**: - The distance from the elbow joint to the point where the maximum muscle force is applied is 5.0 cm. - The point of the gravitational pull on the mass is 15 cm from the elbow. - The total arm length from the shoulder to the hand holding the mass is 35 cm. **Educational Context**: This diagram can be used in educational settings to explain the concepts of muscle force, torque, and leverage in biomechanics. It demonstrates how muscles work to counteract external forces, allowing the arm to maintain its position while holding an object.
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