A man holds a 192-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M→, which is applied perpendicular to the forearm. The forearm weighs 18.5 N and has a center of gravity as indicated. Find (a) the magnitude of M→ and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint.

Elements Of Electromagnetics
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A man holds a 192-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M→, which is applied perpendicular to the forearm. The forearm weighs 18.5 N and has a center of gravity as indicated. Find (a) the magnitude of M→ and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint.

For the direction I know the units is degrees, but I have tried using the answer from b, and it is not correct. 

### Diagram Explanation: Arm Lever Mechanics

This diagram illustrates the biomechanics of the human arm in relation to muscle force and lever action. It provides a detailed view of how the flexor muscles interact with the bones of the arm during movement.

#### Components:

1. **Upper Arm Bone**:
   - This is the bone located between the elbow joint and the shoulder. It acts as one part of the lever system.

2. **Flexor Muscle**:
   - Located along the upper arm, this muscle is responsible for bending the arm. The diagram shows an arrow labeled "M" pointing upward, indicating the direction of the muscle force acting on the arm.

3. **Elbow Joint**:
   - Represented by a dot, this is the pivot point (fulcrum) of the lever system where the upper and lower arm bones connect.

4. **Center of Gravity (cg)**:
   - Marked as "cg" in the diagram, this point represents the center of mass of the lower arm.

5. **Distances**:
   - ***0.0510 m***: Distance from the elbow joint to the point where the flexor muscle exerts force on the upper arm bone.
   - ***0.0890 m***: Distance from the elbow joint to the center of gravity of the lower arm.
   - ***0.330 m***: Total length from the elbow joint to the hand, where an external weight (like a ball) is being held.

#### Purpose:

This diagram serves to visualize how the arm functions as a lever system. By illustrating where the forces act and the distances involved, it helps in understanding principles of mechanics such as torque and equilibrium in the context of human movement.
Transcribed Image Text:### Diagram Explanation: Arm Lever Mechanics This diagram illustrates the biomechanics of the human arm in relation to muscle force and lever action. It provides a detailed view of how the flexor muscles interact with the bones of the arm during movement. #### Components: 1. **Upper Arm Bone**: - This is the bone located between the elbow joint and the shoulder. It acts as one part of the lever system. 2. **Flexor Muscle**: - Located along the upper arm, this muscle is responsible for bending the arm. The diagram shows an arrow labeled "M" pointing upward, indicating the direction of the muscle force acting on the arm. 3. **Elbow Joint**: - Represented by a dot, this is the pivot point (fulcrum) of the lever system where the upper and lower arm bones connect. 4. **Center of Gravity (cg)**: - Marked as "cg" in the diagram, this point represents the center of mass of the lower arm. 5. **Distances**: - ***0.0510 m***: Distance from the elbow joint to the point where the flexor muscle exerts force on the upper arm bone. - ***0.0890 m***: Distance from the elbow joint to the center of gravity of the lower arm. - ***0.330 m***: Total length from the elbow joint to the hand, where an external weight (like a ball) is being held. #### Purpose: This diagram serves to visualize how the arm functions as a lever system. By illustrating where the forces act and the distances involved, it helps in understanding principles of mechanics such as torque and equilibrium in the context of human movement.
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