*4-116. Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point B. Probs. 4-115/116 B 3 ft 80 lb 3 ft 75 lb 3 ft 60 lb t 3 ft 2 ft 40 lb A 4 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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please solve the problems in the picture, show all of your work and draw a free body diagram

**Transcription for Educational Use**

**Problem 4–116.** Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point B.

**Diagram Description:**

The diagram depicts a frame with various forces applied to it:

- The frame is supported by two vertical posts and a horizontal beam connecting them at the top. 
- Point A is located at the top right corner, and point B is located at the top left corner of the horizontal beam.
- There are three loads applied to the frame:
  - An 80 lb downward force is applied at a point 3 feet to the right of point B along the horizontal beam.
  - A 60 lb downward force is applied 3 feet to the left of point A.
  - A 40 lb horizontal force directed to the left is applied 4 feet above the ground on the right post.
- In addition, a cable creating a V-shape is attached to the horizontal beam:
  - The left arm of the V connects to the beam 3 feet from point B.
  - The right arm connects to the beam 2 feet from point A.
  - A 75 lb downward force is applied at the bottom of the V-shaped cable.

The task is to replace all of these forces with a single equivalent resultant force and a couple moment at point B.
Transcribed Image Text:**Transcription for Educational Use** **Problem 4–116.** Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point B. **Diagram Description:** The diagram depicts a frame with various forces applied to it: - The frame is supported by two vertical posts and a horizontal beam connecting them at the top. - Point A is located at the top right corner, and point B is located at the top left corner of the horizontal beam. - There are three loads applied to the frame: - An 80 lb downward force is applied at a point 3 feet to the right of point B along the horizontal beam. - A 60 lb downward force is applied 3 feet to the left of point A. - A 40 lb horizontal force directed to the left is applied 4 feet above the ground on the right post. - In addition, a cable creating a V-shape is attached to the horizontal beam: - The left arm of the V connects to the beam 3 feet from point B. - The right arm connects to the beam 2 feet from point A. - A 75 lb downward force is applied at the bottom of the V-shaped cable. The task is to replace all of these forces with a single equivalent resultant force and a couple moment at point B.
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