The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is 1.77 kg, and F, in the figure is the gravitational force on the carton. The biceps muscle applies a force F to the forearm directed up and to the right at an angle of 75.0° from vertical. The point where F is applied to the forearm is 8.00 cm to the left of the elbow joint and 25.0 cm to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) Milk N -25.0 cm- What is the magnitude of F (in N)? 75.0 8.00 cm 1

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The image displays a diagram illustrating an arm balancing a carton of milk. Here's a breakdown of the text and details provided:

---

**Text:**

The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is **1.77 kg**, and \( F_g \) in the figure is the gravitational force on the carton. The biceps muscle applies a force \( F_b \) to the forearm directed up and to the right at an angle of **75.0°** from vertical. The point where \( F_b \) is applied to the forearm is **8.00 cm** to the left of the elbow joint and **25.0 cm** to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.)

What is the magnitude of \( F_b \) (in N)?

\[ \_\_\_\_ \, \text{N} \]

---

**Diagram Description:**

The diagram shows:

- An arm extended horizontally holding a carton of milk on the hand.
- The carton is labeled with "Milk" and appears to be on the far right end of the forearm.
- A downward arrow labeled \( F_g \) represents the gravitational force acting on the milk carton, perpendicular to the arm.
- An upward diagonal arrow labeled \( F_b \) indicates the force applied by the biceps, directed upwards at a 75.0° angle from the vertical.
- Two marked distances: 
  - **25.0 cm** from the center of gravity of the milk carton to the elbow.
  - **8.00 cm** from the elbow to the point where \( F_b \) is applied.

The diagram demonstrates the concepts of torque and static equilibrium, considering the forces and distances from the pivot point (elbow) and the angles involved.
Transcribed Image Text:The image displays a diagram illustrating an arm balancing a carton of milk. Here's a breakdown of the text and details provided: --- **Text:** The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is **1.77 kg**, and \( F_g \) in the figure is the gravitational force on the carton. The biceps muscle applies a force \( F_b \) to the forearm directed up and to the right at an angle of **75.0°** from vertical. The point where \( F_b \) is applied to the forearm is **8.00 cm** to the left of the elbow joint and **25.0 cm** to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) What is the magnitude of \( F_b \) (in N)? \[ \_\_\_\_ \, \text{N} \] --- **Diagram Description:** The diagram shows: - An arm extended horizontally holding a carton of milk on the hand. - The carton is labeled with "Milk" and appears to be on the far right end of the forearm. - A downward arrow labeled \( F_g \) represents the gravitational force acting on the milk carton, perpendicular to the arm. - An upward diagonal arrow labeled \( F_b \) indicates the force applied by the biceps, directed upwards at a 75.0° angle from the vertical. - Two marked distances: - **25.0 cm** from the center of gravity of the milk carton to the elbow. - **8.00 cm** from the elbow to the point where \( F_b \) is applied. The diagram demonstrates the concepts of torque and static equilibrium, considering the forces and distances from the pivot point (elbow) and the angles involved.
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