I a bit confused on the process can you please be detailed. ### Problem R5-4 (14th Edition)**Problem Statement:**Determine the horizontal and vertical components of reactions at the pin at \( A \) and the reaction of the roller at \( B \) on the lever.**Diagram Explanation:**The figure illustrates a lever system with the following components and dimensions:- The lever is anchored to a fixed pin at point \( A \).- The lever extends horizontally with point \( B \) being supported by a roller.- A force \( F = 50 \, \text{lb} \) is applied at an angle of \( 30^\circ \) from the horizontal.- The vertical distance from the line of action of the force to the base level of point \( A \) is \( 14 \, \text{in.} \).- The horizontal distance from point \( A \) to the point where the force is applied is \( 20 \, \text{in.} \).- The horizontal distance from point \( A \) to the roller at point \( B \) is \( 18 \, \text{in.} \).### Key Points to Determine:1. **Reactions at Pin \( A \):** - Horizontal component (\( A_x \)). - Vertical component (\( A_y \)).2. **Reactions at Roller \( B \):** - Reaction force at \( B \) (\( B_y \)).To solve this problem, the following principles of static equilibrium will be applied:- \(\sum F_x = 0\): The sum of all horizontal forces must be zero.- \(\sum F_y = 0\): The sum of all vertical forces must be zero.- \(\sum M_A = 0\): The sum of moments about point \( A \) must be zero. These equations will help in determining the values of \( A_x \), \( A_y \), and \( B_y \).

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Answered: Determine the horizontal and vertical…

Determine the horizontal and vertical components of reactions at the pin at A and the reaction of the roller at B on the lever.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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I a bit confused on the process can you please be detailed.

### Problem R5-4 (14th Edition)

**Problem Statement:**
Determine the horizontal and vertical components of reactions at the pin at \( A \) and the reaction of the roller at \( B \) on the lever.

**Diagram Explanation:**

The figure illustrates a lever system with the following components and dimensions:
- The lever is anchored to a fixed pin at point \( A \).
- The lever extends horizontally with point \( B \) being supported by a roller.
- A force \( F = 50 \, \text{lb} \) is applied at an angle of \( 30^\circ \) from the horizontal.
- The vertical distance from the line of action of the force to the base level of point \( A \) is \( 14 \, \text{in.} \).
- The horizontal distance from point \( A \) to the point where the force is applied is \( 20 \, \text{in.} \).
- The horizontal distance from point \( A \) to the roller at point \( B \) is \( 18 \, \text{in.} \).

### Key Points to Determine:
1. **Reactions at Pin \( A \):**
- Horizontal component (\( A_x \)).
- Vertical component (\( A_y \)).

2. **Reactions at Roller \( B \):**
- Reaction force at \( B \) (\( B_y \)).

To solve this problem, the following principles of static equilibrium will be applied:
- \(\sum F_x = 0\): The sum of all horizontal forces must be zero.
- \(\sum F_y = 0\): The sum of all vertical forces must be zero.
- \(\sum M_A = 0\): The sum of moments about point \( A \) must be zero.

These equations will help in determining the values of \( A_x \), \( A_y \), and \( B_y \).

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