09:05 A rectangular slab has 4 applied forces, but only F₂ and F3 are known. It is known that the resultant force FR acts through the x, y coordinates (12, 10)m. Variable F2 F3 d₁ d₂ F₁ = F₁ d3 d₁ d5 Value wamap.org Z 12 KN 6 KN 8 m 12 m 4 m 16 m 6m F2 Values for the figure are given in the following table. Note the figure may not be to scale. F3 F4 ) KN d5 y a. Determine the magnitude of the forces F₁ and F4 if the resultant force FR acts through the x, y coordinates (12, 10)m. Round your final answers to 3 significant digits/figures.
09:05 A rectangular slab has 4 applied forces, but only F₂ and F3 are known. It is known that the resultant force FR acts through the x, y coordinates (12, 10)m. Variable F2 F3 d₁ d₂ F₁ = F₁ d3 d₁ d5 Value wamap.org Z 12 KN 6 KN 8 m 12 m 4 m 16 m 6m F2 Values for the figure are given in the following table. Note the figure may not be to scale. F3 F4 ) KN d5 y a. Determine the magnitude of the forces F₁ and F4 if the resultant force FR acts through the x, y coordinates (12, 10)m. Round your final answers to 3 significant digits/figures.
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Chapter6: Vertical Stress Increase In Soil
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Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
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![A rectangular slab has 4 applied forces, but only \( F_2 \) and \( F_3 \) are known. It is known that the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \).
### Diagram Description
The diagram shows a rectangular slab with forces \( F_1, F_2, F_3, \) and \( F_4 \) acting vertically downward. The slab lies in the x-y plane with the z-axis perpendicular to it. The distances \( d_1, d_2, d_3, d_4, \) and \( d_5 \) are measured along the x and y axes.
### Given Values
Values for the variables in the figure are listed in the following table. Note that the figure may not be to scale.
| Variable | Value |
|----------|--------|
| \( F_2 \) | \( 12 \, \text{kN} \) |
| \( F_3 \) | \( 6 \, \text{kN} \) |
| \( d_1 \) | \( 8 \, \text{m} \) |
| \( d_2 \) | \( 12 \, \text{m} \) |
| \( d_3 \) | \( 4 \, \text{m} \) |
| \( d_4 \) | \( 16 \, \text{m} \) |
| \( d_5 \) | \( 6 \, \text{m} \) |
### Problem
Determine the magnitude of the forces \( F_1 \) and \( F_4 \) if the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \).
Round your final answers to 3 significant digits/figures.
\[ F_1 = (\_\_\_\_) \, \text{kN} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e7ba281-dd87-4688-be97-9abf26130e05%2Fe80e7340-f185-4eac-b8ad-708effc80efb%2Fynj4498_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A rectangular slab has 4 applied forces, but only \( F_2 \) and \( F_3 \) are known. It is known that the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \).
### Diagram Description
The diagram shows a rectangular slab with forces \( F_1, F_2, F_3, \) and \( F_4 \) acting vertically downward. The slab lies in the x-y plane with the z-axis perpendicular to it. The distances \( d_1, d_2, d_3, d_4, \) and \( d_5 \) are measured along the x and y axes.
### Given Values
Values for the variables in the figure are listed in the following table. Note that the figure may not be to scale.
| Variable | Value |
|----------|--------|
| \( F_2 \) | \( 12 \, \text{kN} \) |
| \( F_3 \) | \( 6 \, \text{kN} \) |
| \( d_1 \) | \( 8 \, \text{m} \) |
| \( d_2 \) | \( 12 \, \text{m} \) |
| \( d_3 \) | \( 4 \, \text{m} \) |
| \( d_4 \) | \( 16 \, \text{m} \) |
| \( d_5 \) | \( 6 \, \text{m} \) |
### Problem
Determine the magnitude of the forces \( F_1 \) and \( F_4 \) if the resultant force \( F_R \) acts through the \( x, y \) coordinates \( (12, 10) \, m \).
Round your final answers to 3 significant digits/figures.
\[ F_1 = (\_\_\_\_) \, \text{kN} \]
Transcribed Image Text:**Diagram Description:**
The diagram displays a horizontal plane with four forces (\(F_1\), \(F_2\), \(F_3\), \(F_4\)) acting vertically downward at different points on the plane, which is oriented along the x and y axes. The coordinates are labeled, and the distances between the points of force application are given.
**Diagram Details:**
- \(F_1\), \(F_2\), \(F_3\), and \(F_4\) are represented as downward-pointing arrows.
- The plane is marked at various distances, \(d_1\) to \(d_5\), along the axes.
- \(F_1\) is located at a distance \(d_1\) along the x-axis from the y-axis.
- \(F_2\) is at \(d_2\) from \(F_1\) along the x-axis.
- \(F_3\) is located \(d_3\) from \(F_2\) along the x-axis.
- \(F_4\) is \(d_4\) from \(F_3\) and \(d_5\) from the y-axis.
**Table of Values:**
The table provides the values of the forces and distances as follows:
- \(F_2 = 12 \, \text{kN}\)
- \(F_3 = 6 \, \text{kN}\)
- \(d_1 = 8 \, \text{m}\)
- \(d_2 = 12 \, \text{m}\)
- \(d_3 = 4 \, \text{m}\)
- \(d_4 = 16 \, \text{m}\)
- \(d_5 = 6 \, \text{m}\)
**Problem Statement:**
Determine the magnitude of the forces \(F_1\) and \(F_4\) if the resultant force \(F_R\) acts through the coordinates (12, 10) m on the x-y plane.
**Answer Fields:**
- \(F_1 = \_\_\_\) kN
- \(F_4 = \_\_\_\) kN
*Note: Round your final answers to three significant digits.*
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