**Q.4) A moment and four forces are applied to a two-dimensional frame as shown in the figure below. Replace the given force system by a resultant force system acting at point A. Then replace the resultant force system by the simplest resultant and find x and y intercepts of its line of action.****Diagram Description:**- The diagram depicts a two-dimensional frame in the form of an irregular shape with multiple forces acting on it.- Four force vectors and one moment are applied on the frame: - A horizontal force of 70 lb acting to the left at point C, which is 18 inches above point A. - A horizontal force of 90 lb acting to the left at point B, which is 14 inches above point A. - A horizontal force of 100 lb acting to the right at point E, which is 12 inches to the right of point D. - A vertical force of 80 lb acting downward at point F, which is 16 inches to the right of point E. - A moment of 120 lb-in is applied counterclockwise at point D.- The frame has dimensions: - The distance between points A and G is 30 inches. - The distance between points A and B is 15 inches horizontally. - The distance between points D and G is 30 inches horizontally, with D being the midpoint. - Points A and G are at the same vertical level. **Steps to Solve:**1. **Determine the Resultant Force System at Point A:** - Break down all forces into their horizontal (x) and vertical (y) components. - Sum up the horizontal components of the forces. - Sum up the vertical components of the forces. - Sum up the moments about point A.2. **Replace the Resultant Force System with the Simplest Resultant:** - Combine the resultant force components into a single resultant force vector. - Determine the line of action of the resultant force by finding the x and y intercepts.**Resultant Force System Calculation:**- Horizontal forces: \[ F_{x} = -70\text{ lb (at C)} - 90\text{ lb (at B)} + 100\text{ lb (at D)} = -60\text{ lb} \]- Vertical forces: \[ F_{y} = -80\text{

The given truss is as shown below,…

Q.4) A moment and four forces are applied to a two-dimensional frame as shown in figure below. Replace the given force system by a resultant force system acting at point A. Then replace the resultant force system by the simplest resultant and find x and y intercepts of its line of action.

Q.4) A moment and four forces are applied to a two-dimensional frame as shown in figure below. Replace the given force system by a resultant force system acting at point A. Then replace the resultant force system by the simplest resultant and find x and y intercepts of its line of action.

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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Question

**Q.4) A moment and four forces are applied to a two-dimensional frame as shown in the figure below. Replace the given force system by a resultant force system acting at point A. Then replace the resultant force system by the simplest resultant and find x and y intercepts of its line of action.**

**Diagram Description:**
- The diagram depicts a two-dimensional frame in the form of an irregular shape with multiple forces acting on it.
- Four force vectors and one moment are applied on the frame:
- A horizontal force of 70 lb acting to the left at point C, which is 18 inches above point A.
- A horizontal force of 90 lb acting to the left at point B, which is 14 inches above point A.
- A horizontal force of 100 lb acting to the right at point E, which is 12 inches to the right of point D.
- A vertical force of 80 lb acting downward at point F, which is 16 inches to the right of point E.
- A moment of 120 lb-in is applied counterclockwise at point D.
- The frame has dimensions:
- The distance between points A and G is 30 inches.
- The distance between points A and B is 15 inches horizontally.
- The distance between points D and G is 30 inches horizontally, with D being the midpoint.
- Points A and G are at the same vertical level.

**Steps to Solve:**
1. **Determine the Resultant Force System at Point A:**
- Break down all forces into their horizontal (x) and vertical (y) components.
- Sum up the horizontal components of the forces.
- Sum up the vertical components of the forces.
- Sum up the moments about point A.

2. **Replace the Resultant Force System with the Simplest Resultant:**
- Combine the resultant force components into a single resultant force vector.
- Determine the line of action of the resultant force by finding the x and y intercepts.

**Resultant Force System Calculation:**
- Horizontal forces:
\[ F_{x} = -70\text{ lb (at C)} - 90\text{ lb (at B)} + 100\text{ lb (at D)} = -60\text{ lb} \]

- Vertical forces:
\[ F_{y} = -80\text{

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