Two muscles in the back of the leg pull upward on the Achilles tendon. Find the magnitude and direction of the total force on the Achilles tendon. What movement is caused by this force? F₂(200 N) F, (200 N) 20% 20⁰

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
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Transcription for Educational Content:

**Description:**

The diagram shows two muscles in the back of the leg, each applying a force of 200 N at a 20-degree angle from the vertical axis towards the Achilles tendon.

**Text:**

"Two muscles in the back of the leg pull upward on the Achilles tendon. Find the magnitude and direction of the total force on the Achilles tendon. What movement is caused by this force?"

**Diagram Explanation:**

- The illustration features a simplified cross-section of a leg showing the location and orientation of muscles and the Achilles tendon.
- There are two muscle forces depicted on either side of the tendon.
- Each muscle exerts a force labeled \( F \) (200 N) at a 20-degree angle from the tendon.
- The arrows indicate the direction of each force, pulling towards the center.
  
**Key Concepts:**

- **Vector Addition:** The forces are at angles and need to be combined using vector addition to find the resultant force.
- **Components of Force:** Each force has vertical and horizontal components, which can be calculated using trigonometric functions.
- **Resultant Force Calculation:** By summing the components, you determine the net force acting on the Achilles tendon.
Transcribed Image Text:### Transcription for Educational Content: **Description:** The diagram shows two muscles in the back of the leg, each applying a force of 200 N at a 20-degree angle from the vertical axis towards the Achilles tendon. **Text:** "Two muscles in the back of the leg pull upward on the Achilles tendon. Find the magnitude and direction of the total force on the Achilles tendon. What movement is caused by this force?" **Diagram Explanation:** - The illustration features a simplified cross-section of a leg showing the location and orientation of muscles and the Achilles tendon. - There are two muscle forces depicted on either side of the tendon. - Each muscle exerts a force labeled \( F \) (200 N) at a 20-degree angle from the tendon. - The arrows indicate the direction of each force, pulling towards the center. **Key Concepts:** - **Vector Addition:** The forces are at angles and need to be combined using vector addition to find the resultant force. - **Components of Force:** Each force has vertical and horizontal components, which can be calculated using trigonometric functions. - **Resultant Force Calculation:** By summing the components, you determine the net force acting on the Achilles tendon.
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