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, Fg, 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.

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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, Fg, 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 theta when Fg = n = 675 N. (For theta, enter the smaller of the two possible values between 0° and 90°.)

T= ______N

R= ______N

theta= _______°

### Image Description for Educational Purposes

#### Part (a) - Diagram of the Foot and Ankle

- **Anatomical Features:**
  - **Tibia**: Identified as the bone located in the lower leg.
  - **Achilles Tendon**: Shown connecting the calf muscles to the heel bone, crucial for walking, running, and jumping.

This illustration depicts the anatomical structure of the lower leg and foot, highlighting the tibia and Achilles tendon, which play vital roles in movement.

#### Part (b) - Diagram of Forces on an Inclined Plane

- **Components and Measurements:**
  - **Inclined Plane**: A surface angled at 15.0°.
  - **Forces Illustrated**:
    - **Vector \( \vec{R} \)**: Represents a force acting on the plane at an angle \( \theta \) with an unspecified directional arrow.
    - **Vector \( \vec{T} \)**: Indicates another force exerted on the plane, shown with an arrow.
    - **Normal Force \( \vec{n} \)**: Perpendicular to the surface of the plane, signifying the support force.
  - **Dimensions**:
    - The length from bottom to where \( \vec{R} \) acts is 25.0 cm, whereas from the bottom to where \( \vec{T} \) acts is 18.0 cm.

This part of the image depicts an inclined plane, exhibiting the physics of forces acting at specific angles and distances. It demonstrates concepts like vectors, angles, and normal force, crucial for understanding mechanics and equilibrium analysis.
Transcribed Image Text:### Image Description for Educational Purposes #### Part (a) - Diagram of the Foot and Ankle - **Anatomical Features:** - **Tibia**: Identified as the bone located in the lower leg. - **Achilles Tendon**: Shown connecting the calf muscles to the heel bone, crucial for walking, running, and jumping. This illustration depicts the anatomical structure of the lower leg and foot, highlighting the tibia and Achilles tendon, which play vital roles in movement. #### Part (b) - Diagram of Forces on an Inclined Plane - **Components and Measurements:** - **Inclined Plane**: A surface angled at 15.0°. - **Forces Illustrated**: - **Vector \( \vec{R} \)**: Represents a force acting on the plane at an angle \( \theta \) with an unspecified directional arrow. - **Vector \( \vec{T} \)**: Indicates another force exerted on the plane, shown with an arrow. - **Normal Force \( \vec{n} \)**: Perpendicular to the surface of the plane, signifying the support force. - **Dimensions**: - The length from bottom to where \( \vec{R} \) acts is 25.0 cm, whereas from the bottom to where \( \vec{T} \) acts is 18.0 cm. This part of the image depicts an inclined plane, exhibiting the physics of forces acting at specific angles and distances. It demonstrates concepts like vectors, angles, and normal force, crucial for understanding mechanics and equilibrium analysis.
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