### Diagram DescriptionThe image depicts a triangular plate subjected to three couples of forces, labeled at three points: \(A\), \(B\), and \(C\). The sides of the triangle are indicated with several force vectors:- **Point A** - A force of 500 N directed downward. - A force of 169.39 N directed to the left.- **Point B** - A force of 400 N directed to the right. - A force of 400 N directed downward.- **Point C** - A force of 169.39 N directed to the left. - A force of 500 N directed upward.The triangle includes an angle \(\alpha\) and a side labeled \(d\). Each corner of the triangle has a labeled point where forces are applied.### Problem StatementThe task is to determine the angle \(\alpha\) such that the triangular plate remains in equilibrium when influenced by the three forces shown.### Input FieldBelow the diagram is a fillable input field for \(\alpha\) with the instruction:\[\alpha = \text{[ ]} \times\]**Note:** The angle is an integer between \(0^\circ\) and \(90^\circ\).This educational illustration assists in understanding the application of equilibrium conditions in mechanics, specifically involving forces and couples acting on a rigid body system.

169.39 N 400 N a C 169.39 N X d a A 500 N 500 N B 400 N Determine angle a knowing that the triangular plate is in equilbrium when subjected to the three couples shown. Note: the angle is an integer between 0° and 90°.

169.39 N 400 N a C 169.39 N X d a A 500 N 500 N B 400 N Determine angle a knowing that the triangular plate is in equilbrium when subjected to the three couples shown. Note: the angle is an integer between 0° and 90°.

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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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

### Diagram Description

The image depicts a triangular plate subjected to three couples of forces, labeled at three points: \(A\), \(B\), and \(C\). The sides of the triangle are indicated with several force vectors:

- **Point A**
- A force of 500 N directed downward.
- A force of 169.39 N directed to the left.

- **Point B**
- A force of 400 N directed to the right.
- A force of 400 N directed downward.

- **Point C**
- A force of 169.39 N directed to the left.
- A force of 500 N directed upward.

The triangle includes an angle \(\alpha\) and a side labeled \(d\). Each corner of the triangle has a labeled point where forces are applied.

### Problem Statement

The task is to determine the angle \(\alpha\) such that the triangular plate remains in equilibrium when influenced by the three forces shown.

### Input Field

Below the diagram is a fillable input field for \(\alpha\) with the instruction:

\[
\alpha = \text{[ ]} \times
\]

**Note:** The angle is an integer between \(0^\circ\) and \(90^\circ\).

This educational illustration assists in understanding the application of equilibrium conditions in mechanics, specifically involving forces and couples acting on a rigid body system.

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