**Educational Website Text: Analysis of Forces on a Foot in Tiptoe Position**When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, \(\vec{F}_g\), is supported by the force \(\vec{n}\) exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where \(\vec{T}\) is the force exerted by the Achilles tendon on the foot and \(\vec{R}\) is the force exerted by the tibia on the foot.**Goal:**Find the values of \(T\), \(R\), and \(\theta\) when \(F_g = n = 720 \, \text{N}\). (For \(\theta\), enter the smaller of the two possible values between 0° and 90°.)---**Figures and Descriptions:**- **Figure a:** An anatomical diagram showing the foot with the Achilles tendon and tibia. The foot is positioned on the floor, illustrating how force \(\vec{n}\) is applied. - **Figure b:** A mechanical model depicting force vectors and distances: - \(\vec{R}\): Shown at an angle of 15.0°. - \(\theta\): The angle formed between forces \(\vec{R}\) and \(\vec{T}\). - Distances are labeled as 18.0 cm (horizontal) and the total lever arm length as 25.0 cm.---**Input Fields:**- \(T =\) (Input for the force in Newtons)- \(R =\) (Input for the force in Newtons)- \(\theta =\) (Input for the angle in degrees)This analysis is useful for understanding the mechanical forces and biomechanical aspects involved when a person stands on tiptoe, offering insights into physiology and physics.

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When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, Fe, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 720 N. (For 0, enter the smaller of the two possible values between 0° and 90°.)

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, Fe, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 720 N. (For 0, enter the smaller of the two possible values between 0° and 90°.)

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Chapter1: Units, Trigonometry. And Vectors

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Question

**Educational Website Text: Analysis of Forces on a Foot in Tiptoe Position**

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, \(\vec{F}_g\), is supported by the force \(\vec{n}\) exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where \(\vec{T}\) is the force exerted by the Achilles tendon on the foot and \(\vec{R}\) is the force exerted by the tibia on the foot.

**Goal:**
Find the values of \(T\), \(R\), and \(\theta\) when \(F_g = n = 720 \, \text{N}\). (For \(\theta\), enter the smaller of the two possible values between 0° and 90°.)

---

**Figures and Descriptions:**

- **Figure a:** An anatomical diagram showing the foot with the Achilles tendon and tibia. The foot is positioned on the floor, illustrating how force \(\vec{n}\) is applied.

- **Figure b:** A mechanical model depicting force vectors and distances:
- \(\vec{R}\): Shown at an angle of 15.0°.
- \(\theta\): The angle formed between forces \(\vec{R}\) and \(\vec{T}\).
- Distances are labeled as 18.0 cm (horizontal) and the total lever arm length as 25.0 cm.

---

**Input Fields:**

- \(T =\) (Input for the force in Newtons)
- \(R =\) (Input for the force in Newtons)
- \(\theta =\) (Input for the angle in degrees)

This analysis is useful for understanding the mechanical forces and biomechanical aspects involved when a person stands on tiptoe, offering insights into physiology and physics.

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