**Text Transcription:** With the shoulder flexed at 30°, the moment arm of the deltoid muscle is 2.0 cm. Solve for the force exerted by the deltoid muscle at the glenohumeral joint given the following assumptions: - The deltoid is the only active muscle at the glenohumeral joint. - The weight of the humerus is 48 N. - The center of gravity of the humerus is located 30 cm from the shoulder center of rotation. **Diagram Explanation:** The diagram is labeled "STATIC EQUILIBRIUM EQUATIONS CONSIDERING ONLY THE DELTOID MUSCLE." It illustrates the shoulder joint, focusing on the glenohumeral area. Notable elements include: - A representation of the humerus with the shoulder flexed at an angle of 30°. - The moment arm of the deltoid muscle is marked as 2.0 cm. - A point of rotation is indicated at the shoulder joint. - A line representing the deltoid muscle force (F_d). - The weight of the humerus (F_g = 48 N) is shown acting downward at the humerus's center of gravity, which is 30 cm from the point of rotation. - The angle (θ) between the deltoid muscle force and the horizontal is marked at 55°. - External force (F_e) acting downward is shown as 24 N, represented along an extended line parallel to F_g. The diagram aids in understanding the biomechanical forces acting on the shoulder and helps in calculating the force exerted by the deltoid muscle.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Text Transcription:**

With the shoulder flexed at 30°, the moment arm of the deltoid muscle is 2.0 cm. Solve for the force exerted by the deltoid muscle at the glenohumeral joint given the following assumptions:

- The deltoid is the only active muscle at the glenohumeral joint.
- The weight of the humerus is 48 N.
- The center of gravity of the humerus is located 30 cm from the shoulder center of rotation.

**Diagram Explanation:**

The diagram is labeled "STATIC EQUILIBRIUM EQUATIONS CONSIDERING ONLY THE DELTOID MUSCLE." It illustrates the shoulder joint, focusing on the glenohumeral area. Notable elements include:

- A representation of the humerus with the shoulder flexed at an angle of 30°.
- The moment arm of the deltoid muscle is marked as 2.0 cm.
- A point of rotation is indicated at the shoulder joint.
- A line representing the deltoid muscle force (F_d).
- The weight of the humerus (F_g = 48 N) is shown acting downward at the humerus's center of gravity, which is 30 cm from the point of rotation.
- The angle (θ) between the deltoid muscle force and the horizontal is marked at 55°.
- External force (F_e) acting downward is shown as 24 N, represented along an extended line parallel to F_g. 

The diagram aids in understanding the biomechanical forces acting on the shoulder and helps in calculating the force exerted by the deltoid muscle.
Transcribed Image Text:**Text Transcription:** With the shoulder flexed at 30°, the moment arm of the deltoid muscle is 2.0 cm. Solve for the force exerted by the deltoid muscle at the glenohumeral joint given the following assumptions: - The deltoid is the only active muscle at the glenohumeral joint. - The weight of the humerus is 48 N. - The center of gravity of the humerus is located 30 cm from the shoulder center of rotation. **Diagram Explanation:** The diagram is labeled "STATIC EQUILIBRIUM EQUATIONS CONSIDERING ONLY THE DELTOID MUSCLE." It illustrates the shoulder joint, focusing on the glenohumeral area. Notable elements include: - A representation of the humerus with the shoulder flexed at an angle of 30°. - The moment arm of the deltoid muscle is marked as 2.0 cm. - A point of rotation is indicated at the shoulder joint. - A line representing the deltoid muscle force (F_d). - The weight of the humerus (F_g = 48 N) is shown acting downward at the humerus's center of gravity, which is 30 cm from the point of rotation. - The angle (θ) between the deltoid muscle force and the horizontal is marked at 55°. - External force (F_e) acting downward is shown as 24 N, represented along an extended line parallel to F_g. The diagram aids in understanding the biomechanical forces acting on the shoulder and helps in calculating the force exerted by the deltoid muscle.
Expert Solution
Step 1

Given, 

Weight of humerus = 48N

Shoulder is flexed at 30 degree

Moment arm of the deltoid muscle is 2cm

We need to solve for the force exert by the deltoid muscle.

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