Find the external reactions. x Z A 6 ft F = 80 lb C 1.5 ft B 1.5 ft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Find the External Reactions**

**Diagram Explanation:**

This diagram illustrates a structural problem involving a bent rod that is anchored at one end and subjected to an external force. Below is a detailed description of the key elements in the diagram:

- **Axes and Points:**
  - The diagram is in a 3D space with axes labeled as \( x \), \( y \), and \( z \).
  - Point \( A \) is where the rod is fixed into the wall along the \( z \)-axis.
  - The end of the rod extends horizontally 6 feet along the negative \( x \)-axis and then turns along the positive \( y \)-axis.

- **Rod:**
  - The rod consists of sections \( AB \) and \( BC \). 
  - \( AB \) is 6 feet long and aligned with the horizontal \( x \)-axis.
  - \( BC \) extends 1.5 feet along the \( y \)-axis.

- **Loads:**
  - There is an external downward force \( F = 80 \, \text{lb} \) acting at point \( D \) on the rod.
  - The force is perpendicular to the \( x \)-\( y \) plane and acts vertically downward.

- **Dimensions:**
  - The length from \( A \) to \( B \) is 6 feet.
  - The distance from \( B \) to \( C \), and from \( B \) to \( D \) is 1.5 feet, indicating points \( C \) and \( D \) form a right angle with \( B \) in the \( x \)-\( y \) plane.

**Objective:**
- Determine the external reactions at point \( A \) caused by the applied force \( F \). This involves calculating the resulting forces and moments needed to maintain equilibrium.
Transcribed Image Text:**Find the External Reactions** **Diagram Explanation:** This diagram illustrates a structural problem involving a bent rod that is anchored at one end and subjected to an external force. Below is a detailed description of the key elements in the diagram: - **Axes and Points:** - The diagram is in a 3D space with axes labeled as \( x \), \( y \), and \( z \). - Point \( A \) is where the rod is fixed into the wall along the \( z \)-axis. - The end of the rod extends horizontally 6 feet along the negative \( x \)-axis and then turns along the positive \( y \)-axis. - **Rod:** - The rod consists of sections \( AB \) and \( BC \). - \( AB \) is 6 feet long and aligned with the horizontal \( x \)-axis. - \( BC \) extends 1.5 feet along the \( y \)-axis. - **Loads:** - There is an external downward force \( F = 80 \, \text{lb} \) acting at point \( D \) on the rod. - The force is perpendicular to the \( x \)-\( y \) plane and acts vertically downward. - **Dimensions:** - The length from \( A \) to \( B \) is 6 feet. - The distance from \( B \) to \( C \), and from \( B \) to \( D \) is 1.5 feet, indicating points \( C \) and \( D \) form a right angle with \( B \) in the \( x \)-\( y \) plane. **Objective:** - Determine the external reactions at point \( A \) caused by the applied force \( F \). This involves calculating the resulting forces and moments needed to maintain equilibrium.
**Find the External Reactions**

The image depicts a suspended panel with three supporting wires labeled A, B, and C. The panel is in the xy-plane with the z-axis pointing upwards. A downward force of 200 pounds is applied at a point on the panel. 

**Diagram Details:**

- **Coordinates:**
  - The force is applied 2 feet along the y-axis and 2 feet along the x-axis from wire A.
  - Wire B is located 3 feet along the x-axis from wire C.

- **Forces:**
  - A 200 lb force acts downward along the negative z-axis direction.

The problem is to determine the reactions in the supporting wires A, B, and C necessary to maintain equilibrium of the panel under the applied 200 lb force.
Transcribed Image Text:**Find the External Reactions** The image depicts a suspended panel with three supporting wires labeled A, B, and C. The panel is in the xy-plane with the z-axis pointing upwards. A downward force of 200 pounds is applied at a point on the panel. **Diagram Details:** - **Coordinates:** - The force is applied 2 feet along the y-axis and 2 feet along the x-axis from wire A. - Wire B is located 3 feet along the x-axis from wire C. - **Forces:** - A 200 lb force acts downward along the negative z-axis direction. The problem is to determine the reactions in the supporting wires A, B, and C necessary to maintain equilibrium of the panel under the applied 200 lb force.
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