Rod AB is supported by a pin and bracket at A and rests against a frictionless peg at C. AO с 160 mm 150 mm 150 mm B F

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

Determine the reactions at points A and C when a 220-N horizontal force \( F \) is applied at point B.

**Reaction Calculations:**

- The magnitude of the reaction at A is \( \_\_\_ \) N at \( \_\_\_ \)°.
- The magnitude of the reaction at C is \( \_\_\_ \) N at \( \_\_\_ \)°.

**Explanation:**

This problem involves calculating the reaction forces at two points (A and C) on a structure, which bears a horizontal force at point B. The specific magnitudes and directions (angles) of the reaction forces at A and C need to be determined.

**Instructions:**

1. Use equilibrium equations to solve for the unknown reaction forces.
2. Account for both horizontal and vertical force components when considering the forces acting on the structure.
3. Apply principles of statics, such as summation of forces and moments, to find the solutions.
Transcribed Image Text:**Problem Statement:** Determine the reactions at points A and C when a 220-N horizontal force \( F \) is applied at point B. **Reaction Calculations:** - The magnitude of the reaction at A is \( \_\_\_ \) N at \( \_\_\_ \)°. - The magnitude of the reaction at C is \( \_\_\_ \) N at \( \_\_\_ \)°. **Explanation:** This problem involves calculating the reaction forces at two points (A and C) on a structure, which bears a horizontal force at point B. The specific magnitudes and directions (angles) of the reaction forces at A and C need to be determined. **Instructions:** 1. Use equilibrium equations to solve for the unknown reaction forces. 2. Account for both horizontal and vertical force components when considering the forces acting on the structure. 3. Apply principles of statics, such as summation of forces and moments, to find the solutions.
**Transcription and Explanation**

**Description of the System:**

The diagram illustrates a rod \( AB \) which is supported by a pin and bracket at point \( A \) and rests against a frictionless peg at point \( C \). The rod experiences a horizontal force \( F \) applied at point \( B \).

**Key Measurements:**

- The vertical distance from point \( A \) to point \( B \) is 300 mm, indicated by two separate segments of 150 mm each.
- The horizontal distance from point \( B \) to the vertical line through point \( A \) is 160 mm.

**Diagram Explanation:**

- The rod is shown in a diagonal position with point \( A \) at the top and point \( B \) at the bottom.
- A pin and bracket at \( A \) provide support and allow rotation.
- The frictionless peg at \( C \), located approximately halfway down the rod, prevents sliding by providing lateral support.
- The force \( F \) is depicted as an arrow pointing horizontally to the right at point \( B \).

This setup is typically used to analyze equilibrium conditions, mechanics problems, and the effects of forces on rigid bodies in engineering and physics contexts.
Transcribed Image Text:**Transcription and Explanation** **Description of the System:** The diagram illustrates a rod \( AB \) which is supported by a pin and bracket at point \( A \) and rests against a frictionless peg at point \( C \). The rod experiences a horizontal force \( F \) applied at point \( B \). **Key Measurements:** - The vertical distance from point \( A \) to point \( B \) is 300 mm, indicated by two separate segments of 150 mm each. - The horizontal distance from point \( B \) to the vertical line through point \( A \) is 160 mm. **Diagram Explanation:** - The rod is shown in a diagonal position with point \( A \) at the top and point \( B \) at the bottom. - A pin and bracket at \( A \) provide support and allow rotation. - The frictionless peg at \( C \), located approximately halfway down the rod, prevents sliding by providing lateral support. - The force \( F \) is depicted as an arrow pointing horizontally to the right at point \( B \). This setup is typically used to analyze equilibrium conditions, mechanics problems, and the effects of forces on rigid bodies in engineering and physics contexts.
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