Eigure P3.36 Three-phase AC system. 3-37. In a motion capture study of a runner, one frame shows the subject supporting her weight on one leg, as shown in Eig. P3.37. The length of the foot segment (from ankle to toe) is 8 in. and the length of the lower leg (from ankle to knee) is 18 in. X, in. (-6.25, 25) Ankle 30% 60⁰° Knee X Toes (a) During a motion capture study. 92 Knee Ankle Toes -x, in. (b) To find 0₁ and 0₂.

Elements Of Electromagnetics
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**Educational Text: Motion Capture Study of a Runner's Leg Position**

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**Section: Motion Capture in Biomechanics**

*Problem Description*

In a motion capture study of a runner, one frame shows the subject supporting their weight on one leg. We analyze this frame using a diagram to determine the position and angles of the leg segments.

*Figure P3.37 Overview*

The leg is represented in two different positions:

1. **Diagram (a):** Illustrates the leg during a motion capture study with specific angles.
   - The foot is touching the ground at the origin of the coordinate system (x = 0, y = 0).
   - The segment from the ankle to the toes forms a 30-degree angle with the horizontal axis.
   - The segment from the ankle to the knee forms a 60-degree angle with the vertical line.

2. **Diagram (b):** Used to calculate unknown angles \(\theta_1\) and \(\theta_2\).
   - The knee's location is given as (-6.25 in., 25 in.).
   - Shown in a coordinate system where the foot is at the origin.

*Task Details*

- **(a)** Calculate the position of the knee when the toes are at the ground at the origin.
  
- **(b)** For the knee positioned in the second quadrant with coordinates (-6.25 in., 25 in.), determine the angles \(\theta_1\) and \(\theta_2\).

*Measurements*
- Foot segment (ankle to toe): 8 inches.
- Lower leg segment (ankle to knee): 18 inches.

These diagrams and calculations are crucial for understanding movement and biomechanics in engineering applications.

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**End of Section**

*This educational content is designed for use in engineering and biomechanics courses, where visualization and analysis of movement are vital.*
Transcribed Image Text:**Educational Text: Motion Capture Study of a Runner's Leg Position** --- **Section: Motion Capture in Biomechanics** *Problem Description* In a motion capture study of a runner, one frame shows the subject supporting their weight on one leg. We analyze this frame using a diagram to determine the position and angles of the leg segments. *Figure P3.37 Overview* The leg is represented in two different positions: 1. **Diagram (a):** Illustrates the leg during a motion capture study with specific angles. - The foot is touching the ground at the origin of the coordinate system (x = 0, y = 0). - The segment from the ankle to the toes forms a 30-degree angle with the horizontal axis. - The segment from the ankle to the knee forms a 60-degree angle with the vertical line. 2. **Diagram (b):** Used to calculate unknown angles \(\theta_1\) and \(\theta_2\). - The knee's location is given as (-6.25 in., 25 in.). - Shown in a coordinate system where the foot is at the origin. *Task Details* - **(a)** Calculate the position of the knee when the toes are at the ground at the origin. - **(b)** For the knee positioned in the second quadrant with coordinates (-6.25 in., 25 in.), determine the angles \(\theta_1\) and \(\theta_2\). *Measurements* - Foot segment (ankle to toe): 8 inches. - Lower leg segment (ankle to knee): 18 inches. These diagrams and calculations are crucial for understanding movement and biomechanics in engineering applications. --- **End of Section** *This educational content is designed for use in engineering and biomechanics courses, where visualization and analysis of movement are vital.*
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