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**Question:** b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y-axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150. *Enter to 3 significant figures* **Answer:** Angle of the net force with respect to y-axis = **67.6** degrees The incorrect indication (red "X") suggests that the entered angle is not the correct answer according to the system. **Understanding the Forces on the Achilles Tendon** The lateral head and the medial head of the gastrocnemius muscle exert forces on the Achilles tendon. The medial head \( T_1 \) exerts a force of 250 N and the lateral head \( T_2 \) exerts a force of 150 N. ### Diagram Overview - **Gastrocnemius Muscle**: Shown in relation to the Achilles tendon. - **Force Vectors**: - \( T_1 \) is directed at 20° from the vertical (y-axis). - \( T_2 \) is directed at 30° from the vertical (y-axis). - The diagram includes axes labeled \( x \) (horizontal) and \( y \) (vertical). ### Calculations #### a) Net Force Calculation To determine the net force on the Achilles tendon: - **Magnitude of Net Force**: Calculated as 291.55 N. #### b) Direction of Net Force Determine the angle of the net force with respect to the y-axis: - A negative angle implies the force is angled to the left of the y-axis. - A positive angle implies the force is angled to the right of the y-axis. - Given tensions: \( T_1 = 250 \) N, \( T_2 = 150 \) N. Understanding these forces and the resulting vector sums is crucial for analyzing muscle dynamics and biomechanics.

**Question:** b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y-axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150. *Enter to 3 significant figures* **Answer:** Angle of the net force with respect to y-axis = **67.6** degrees The incorrect indication (red "X") suggests that the entered angle is not the correct answer according to the system. **Understanding the Forces on the Achilles Tendon** The lateral head and the medial head of the gastrocnemius muscle exert forces on the Achilles tendon. The medial head \( T_1 \) exerts a force of 250 N and the lateral head \( T_2 \) exerts a force of 150 N. ### Diagram Overview - **Gastrocnemius Muscle**: Shown in relation to the Achilles tendon. - **Force Vectors**: - \( T_1 \) is directed at 20° from the vertical (y-axis). - \( T_2 \) is directed at 30° from the vertical (y-axis). - The diagram includes axes labeled \( x \) (horizontal) and \( y \) (vertical). ### Calculations #### a) Net Force Calculation To determine the net force on the Achilles tendon: - **Magnitude of Net Force**: Calculated as 291.55 N. #### b) Direction of Net Force Determine the angle of the net force with respect to the y-axis: - A negative angle implies the force is angled to the left of the y-axis. - A positive angle implies the force is angled to the right of the y-axis. - Given tensions: \( T_1 = 250 \) N, \( T_2 = 150 \) N. Understanding these forces and the resulting vector sums is crucial for analyzing muscle dynamics and biomechanics.

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
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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**Question:** b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y-axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150. *Enter to 3 significant figures* **Answer:** Angle of the net force with respect to y-axis = **67.6** degrees The incorrect indication (red "X") suggests that the entered angle is not the correct answer according to the system.
Transcribed Image Text:**Question:** b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y-axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150. *Enter to 3 significant figures* **Answer:** Angle of the net force with respect to y-axis = **67.6** degrees The incorrect indication (red "X") suggests that the entered angle is not the correct answer according to the system.
**Understanding the Forces on the Achilles Tendon** The lateral head and the medial head of the gastrocnemius muscle exert forces on the Achilles tendon. The medial head \( T_1 \) exerts a force of 250 N and the lateral head \( T_2 \) exerts a force of 150 N. ### Diagram Overview - **Gastrocnemius Muscle**: Shown in relation to the Achilles tendon. - **Force Vectors**: - \( T_1 \) is directed at 20° from the vertical (y-axis). - \( T_2 \) is directed at 30° from the vertical (y-axis). - The diagram includes axes labeled \( x \) (horizontal) and \( y \) (vertical). ### Calculations #### a) Net Force Calculation To determine the net force on the Achilles tendon: - **Magnitude of Net Force**: Calculated as 291.55 N. #### b) Direction of Net Force Determine the angle of the net force with respect to the y-axis: - A negative angle implies the force is angled to the left of the y-axis. - A positive angle implies the force is angled to the right of the y-axis. - Given tensions: \( T_1 = 250 \) N, \( T_2 = 150 \) N. Understanding these forces and the resulting vector sums is crucial for analyzing muscle dynamics and biomechanics.
Transcribed Image Text:**Understanding the Forces on the Achilles Tendon** The lateral head and the medial head of the gastrocnemius muscle exert forces on the Achilles tendon. The medial head \( T_1 \) exerts a force of 250 N and the lateral head \( T_2 \) exerts a force of 150 N. ### Diagram Overview - **Gastrocnemius Muscle**: Shown in relation to the Achilles tendon. - **Force Vectors**: - \( T_1 \) is directed at 20° from the vertical (y-axis). - \( T_2 \) is directed at 30° from the vertical (y-axis). - The diagram includes axes labeled \( x \) (horizontal) and \( y \) (vertical). ### Calculations #### a) Net Force Calculation To determine the net force on the Achilles tendon: - **Magnitude of Net Force**: Calculated as 291.55 N. #### b) Direction of Net Force Determine the angle of the net force with respect to the y-axis: - A negative angle implies the force is angled to the left of the y-axis. - A positive angle implies the force is angled to the right of the y-axis. - Given tensions: \( T_1 = 250 \) N, \( T_2 = 150 \) N. Understanding these forces and the resulting vector sums is crucial for analyzing muscle dynamics and biomechanics.
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