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Replace the loading by an equivalent resultant force and couple moment at point O. Suppose that F₁ = {8i - 4k} kN and F2 = {-3i+4j-3k} kN. (Figure 1) ▼ Part A Determine the resultant force. Enter the x, y, and z components of the force separated by commas using three significant figures. (FR). (FR)y, (FR) z = ΠΙ ΑΣΦ vec ? kN

Replace the loading by an equivalent resultant force and couple moment at point O. Suppose that F₁ = {8i - 4k} kN and F2 = {-3i+4j-3k} kN. (Figure 1) ▼ Part A Determine the resultant force. Enter the x, y, and z components of the force separated by commas using three significant figures. (FR). (FR)y, (FR) z = ΠΙ ΑΣΦ vec ? kN

Elements Of Electromagnetics
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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Please answer parts A and B.

### Problem Statement Replace the loading by an equivalent resultant force and couple moment at point \( O \). Suppose that: \[ \mathbf{F}_1 = \{8\mathbf{i} - 4\mathbf{k}\} \text{ kN} \] \[ \mathbf{F}_2 = \{-3\mathbf{i} + 4\mathbf{j} - 3\mathbf{k}\} \text{ kN} \] [Figure 1] ### Task **Part A** Determine the resultant force. **Instructions:** Enter the \( x \), \( y \), and \( z \) components of the force separated by commas using three significant figures. \[ (F_R)_x, (F_R)_y, (F_R)_z = \, \boxed{ \quad \quad} \] **Units: kN**
Transcribed Image Text:### Problem Statement Replace the loading by an equivalent resultant force and couple moment at point \( O \). Suppose that: \[ \mathbf{F}_1 = \{8\mathbf{i} - 4\mathbf{k}\} \text{ kN} \] \[ \mathbf{F}_2 = \{-3\mathbf{i} + 4\mathbf{j} - 3\mathbf{k}\} \text{ kN} \] [Figure 1] ### Task **Part A** Determine the resultant force. **Instructions:** Enter the \( x \), \( y \), and \( z \) components of the force separated by commas using three significant figures. \[ (F_R)_x, (F_R)_y, (F_R)_z = \, \boxed{ \quad \quad} \] **Units: kN**
**Part B** Determine the equivalent resultant couple moment about point \( O \). **Instruction:** Enter the \( x \), \( y \), and \( z \) components of the moment separated by commas using three significant figures. \[ (M_{R,O})_x, (M_{R,O})_y, (M_{R,O})_z = \, \underline{\quad\quad\quad\quad\quad\quad\quad} \] \( \text{kN} \cdot \text{m} \) **Button Options:** - Submit - Request Answer **Links:** - Return to Assignment - Provide Feedback **Figure Explanation:** The diagram illustrates a 3D system with a vertical and horizontal component. The structure is an L-shaped arm with the following dimensions: - Horizontal component along the \( x \)-axis: 0.8 m - Vertical component along the \( z \)-axis: 0.7 m - Distance from the origin to the force \( F_2 \): 0.5 m In the diagram: - \( F_1 \) is applied horizontally at the end of the L-shaped structure. - \( F_2 \) is applied at the junction between the vertical and horizontal components, at an angle in the \( yz \)-plane. - Points are labeled along the axes: \( x \), \( y \), and \( z \).
Transcribed Image Text:**Part B** Determine the equivalent resultant couple moment about point \( O \). **Instruction:** Enter the \( x \), \( y \), and \( z \) components of the moment separated by commas using three significant figures. \[ (M_{R,O})_x, (M_{R,O})_y, (M_{R,O})_z = \, \underline{\quad\quad\quad\quad\quad\quad\quad} \] \( \text{kN} \cdot \text{m} \) **Button Options:** - Submit - Request Answer **Links:** - Return to Assignment - Provide Feedback **Figure Explanation:** The diagram illustrates a 3D system with a vertical and horizontal component. The structure is an L-shaped arm with the following dimensions: - Horizontal component along the \( x \)-axis: 0.8 m - Vertical component along the \( z \)-axis: 0.7 m - Distance from the origin to the force \( F_2 \): 0.5 m In the diagram: - \( F_1 \) is applied horizontally at the end of the L-shaped structure. - \( F_2 \) is applied at the junction between the vertical and horizontal components, at an angle in the \( yz \)-plane. - Points are labeled along the axes: \( x \), \( y \), and \( z \).
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