A man holds a 198-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 line M , which is applied perpendicular to the forearm. The forearm weighs 24.4 N and has a center of gravity as indicated. Find (a) the magnitude of line 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.
A man holds a 198-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 line M , which is applied perpendicular to the forearm. The forearm weighs 24.4 N and has a center of gravity as indicated. Find (a) the magnitude of line 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.
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A man holds a 198-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 line M , which is applied perpendicular to the forearm. The forearm weighs 24.4 N and has a center of gravity as indicated. Find (a) the magnitude of line 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.

Transcribed Image Text:The image depicts the anatomy and mechanics of the human arm during a flexion movement involving the flexor muscle. Key components and measurements are illustrated as follows:
1. **Upper Arm Bone**: The upper section of the arm, which is attached to the shoulder.
2. **Elbow Joint**: The pivot point of the arm, displayed near the intersection of the upper arm bone and forearm.
3. **Flexor Muscle**: Highlighted in red, this muscle is responsible for bending the arm at the elbow.
4. **Blue Arrow (M)**: Represents the force exerted by the flexor muscle during contraction.
5. **cg (Center of Gravity)**: Located on the forearm, indicating the center of mass for the forearm and hand.
6. **Distances**:
- From the elbow joint to the force applied by the muscle (M): \(0.0510 \, \text{m}\).
- From the elbow joint to the center of gravity (cg): \(0.0890 \, \text{m}\).
- From the elbow joint to the hand holding a ball: \(0.330 \, \text{m}\).
The image illustrates how muscle force and lever arm mechanics interact in the human body to facilitate movement, providing a detailed breakdown of the biomechanical principles involved in arm flexion.
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