**Problem 6: Wedge of Cheese in Equilibrium**A wedge of cheese is suspended at rest by two strings which exert forces of magnitude \( F1 \) (Black) and \( F2 \) (Red), as shown in the diagram. Force \( F1 \) is applied at an angle of 50 degrees to the horizontal. Additionally, there is a downward force acting on the cheese of magnitude 15 N (Green).**Questions:**- What is the magnitude of the force \( F1 \)?- What is the magnitude of the force \( F2 \)?**Diagram Explanation:**- The diagram shows a wedge of cheese with three forces acting on it.- \( F1 \) (Black) is directed at an upward angle of 50 degrees from the horizontal.- \( F2 \) (Red) is directed horizontally to the left.- The downward force of 15 N (Green) acts vertically downwards on the cheese.- All forces contribute to the equilibrium of the cheese wedge.**Note:** To find the magnitudes of \( F1 \) and \( F2 \), apply equilibrium conditions by resolving forces into horizontal and vertical components. Calculate using trigonometric relations and the given angle.

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Description: **Problem 6: Wedge of Cheese in Equilibrium**A wedge of cheese is suspended at rest by two strings which exert forces of magnitude \( F1 \) (Black) and \( F2 \) (Red), as shown in the diagram. Force \( F1 \) is applied at an angle of 50 degrees to t

Vertical component of force F1 equals the gravitational force. F1sinθ=FgravityF1sin50°=15 NF1=19.6 N…

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6. A wedge of cheese is suspended at rest by two srings which exert forces of magnitude F1 (Black) and F2 (Red), as seen below. F1 is applied at an angle of 50 degrees to the horizontal. There is also a downward force of gra on the cheese of magnitude 15N (Green). What is the magnitude of the force F1? What is the magnitude of the force F2?

6. A wedge of cheese is suspended at rest by two srings which exert forces of magnitude F1 (Black) and F2 (Red), as seen below. F1 is applied at an angle of 50 degrees to the horizontal. There is also a downward force of gra on the cheese of magnitude 15N (Green). What is the magnitude of the force F1? What is the magnitude of the force F2?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 40PQ

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**Problem 6: Wedge of Cheese in Equilibrium**

A wedge of cheese is suspended at rest by two strings which exert forces of magnitude \( F1 \) (Black) and \( F2 \) (Red), as shown in the diagram. Force \( F1 \) is applied at an angle of 50 degrees to the horizontal. Additionally, there is a downward force acting on the cheese of magnitude 15 N (Green).

**Questions:**

- What is the magnitude of the force \( F1 \)?
- What is the magnitude of the force \( F2 \)?

**Diagram Explanation:**

- The diagram shows a wedge of cheese with three forces acting on it.
- \( F1 \) (Black) is directed at an upward angle of 50 degrees from the horizontal.
- \( F2 \) (Red) is directed horizontally to the left.
- The downward force of 15 N (Green) acts vertically downwards on the cheese.
- All forces contribute to the equilibrium of the cheese wedge.

**Note:** To find the magnitudes of \( F1 \) and \( F2 \), apply equilibrium conditions by resolving forces into horizontal and vertical components. Calculate using trigonometric relations and the given angle.

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