Learning Goal: To apply the scalar formulation of the moment of force including the determination of the moment arm The member shown below is fixed at O and its dimensions are h₁ = 1.05 m, h₂=0.30 m, and -0.45 m. (Figure 1) Figure 1 of 7 > ▾ Part A-Scalar analysis of an applied horizontal force at point A A force of magnitude F= 66 N is applied at point A. (Figure 2)What is the magnitude of the moment of the force about point O? Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. ▸ View Available Hint(s) Mo- Submit AE Ivec ▾ Part B - Scalar analysis of an applied vertical force at point A A force F of magnitude F=70N is applied at point A O AE Ivec 4 A (Eigure 3) Determine the magnitude of the moment of the force about point O Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. View Available Hint(s) ? O N-m ? Part C-Scalar analysis of an applied vertical force at point B A force F of magnitude F=12 N is applied at point B(Figure 4)Determine the magnitude of the moment of the force about point O Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. View Available Hint(s) Mo Submit AE Ivec Part D-Scalar analysis of an applied horizontal force at point B Mo N-m Review A force F of magnitude F-83 N is applied at point B(Figure 5)Determine the magnitude of the moment of the force about point a Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. View Available Hint(s) VAE Ivec N-m

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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I am very stuck on these problems. There is a part a,b,c,d,e,f to the question. 

**Learning Goal:**
To apply the scalar formulation of the moment of force including the determination of the moment arm.

The member shown below is fixed at O and its dimensions are \(h_1 = 1.05 \, \text{m}\), \(h_2 = 0.30 \, \text{m}\), and \(w = 0.45 \, \text{m}\).

**Figure:**
The figure depicts a structure with a horizontal component atop a vertical component. The dimensions are indicated as \(w\) (width), \(h_1\) (height of vertical component), and \(h_2\) (height of horizontal component, from O to A).

**Part A - Scalar analysis of an applied horizontal force at point A**

A force \( \vec{F} \) of magnitude \( F = 66 \, \text{N} \) is applied at point A. (Figure 2)

- **Question:** What is the magnitude of the moment of the force about point O?
- **Requirement:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.
  
Input box for \( M_O = \) with unit \( \text{N} \cdot \text{m} \).

**Part B - Scalar analysis of an applied vertical force at point A**

A force \( \vec{F} \) of magnitude \( F = 70 \, \text{N} \) is applied at point A. (Figure 3)

- **Requirement:** Determine the magnitude of the moment of the force about point O.
- **Instruction:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.

Input box for \( M_O = \) with unit \( \text{N} \cdot \text{m} \).

**Part C - Scalar analysis of an applied vertical force at point B**

A force \( \vec{F} \) of magnitude \( F = 12 \, \text{N} \) is applied at point B. (Figure 4)

- **Requirement:** Determine the magnitude of the moment of the force about point O.
- **Instruction:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.

Input box for \( M_O = \
Transcribed Image Text:**Learning Goal:** To apply the scalar formulation of the moment of force including the determination of the moment arm. The member shown below is fixed at O and its dimensions are \(h_1 = 1.05 \, \text{m}\), \(h_2 = 0.30 \, \text{m}\), and \(w = 0.45 \, \text{m}\). **Figure:** The figure depicts a structure with a horizontal component atop a vertical component. The dimensions are indicated as \(w\) (width), \(h_1\) (height of vertical component), and \(h_2\) (height of horizontal component, from O to A). **Part A - Scalar analysis of an applied horizontal force at point A** A force \( \vec{F} \) of magnitude \( F = 66 \, \text{N} \) is applied at point A. (Figure 2) - **Question:** What is the magnitude of the moment of the force about point O? - **Requirement:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. Input box for \( M_O = \) with unit \( \text{N} \cdot \text{m} \). **Part B - Scalar analysis of an applied vertical force at point A** A force \( \vec{F} \) of magnitude \( F = 70 \, \text{N} \) is applied at point A. (Figure 3) - **Requirement:** Determine the magnitude of the moment of the force about point O. - **Instruction:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. Input box for \( M_O = \) with unit \( \text{N} \cdot \text{m} \). **Part C - Scalar analysis of an applied vertical force at point B** A force \( \vec{F} \) of magnitude \( F = 12 \, \text{N} \) is applied at point B. (Figure 4) - **Requirement:** Determine the magnitude of the moment of the force about point O. - **Instruction:** Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary. Input box for \( M_O = \
### Learning Goal:
To apply the scalar formulation of the moment of force including the determination of the moment arm.

The member shown below is fixed at \( O \) and its dimensions are \( h_1 = 1.05 \, \text{m}, \, h_2 = 0.30 \, \text{m}, \text{ and } w = 0.45 \, \text{m}. \) ([Figure 1](#))

### Diagram:
An L-shaped beam fixed at point \( O \). The vertical segment \( OA \) has length \( h_1 \), and is connected to a horizontal segment \( AB \) of length \( w \), which then continues vertically further up to point \( C \) with length \( h_2 \).

### Part E - Scalar analysis of an applied horizontal force at point \( C \)

A force \( \mathbf{F} \) of magnitude \( F = 290 \, \text{N} \) is applied at point \( C \). ([Figure 6](#)) Determine the magnitude of the moment of the force about point \( O \).

**Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.**

\[ M_O = \underline{\makebox[2cm]{}} \, \text{N} \cdot \text{m} \] 

### Part F - Scalar analysis of multiple applied forces

Three forces \( \mathbf{F}_1, \, \mathbf{F}_2, \text{ and } \mathbf{F}_3 \) having magnitudes \( F_1 = 87 \, \text{N}, \, F_2 = 165 \, \text{N}, \text{ and } F_3 = 53 \, \text{N} \), respectively, are applied to the member as shown. ([Figure 7](#)) Determine the magnitude of the moment of the force about point \( O \).

**Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.**

\[ M_O = \underline{\makebox[2cm]{}} \, \text{N} \cdot \text{m} \] 

Make sure to follow the hints available if necessary for more detailed guidance.
Transcribed Image Text:### Learning Goal: To apply the scalar formulation of the moment of force including the determination of the moment arm. The member shown below is fixed at \( O \) and its dimensions are \( h_1 = 1.05 \, \text{m}, \, h_2 = 0.30 \, \text{m}, \text{ and } w = 0.45 \, \text{m}. \) ([Figure 1](#)) ### Diagram: An L-shaped beam fixed at point \( O \). The vertical segment \( OA \) has length \( h_1 \), and is connected to a horizontal segment \( AB \) of length \( w \), which then continues vertically further up to point \( C \) with length \( h_2 \). ### Part E - Scalar analysis of an applied horizontal force at point \( C \) A force \( \mathbf{F} \) of magnitude \( F = 290 \, \text{N} \) is applied at point \( C \). ([Figure 6](#)) Determine the magnitude of the moment of the force about point \( O \). **Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.** \[ M_O = \underline{\makebox[2cm]{}} \, \text{N} \cdot \text{m} \] ### Part F - Scalar analysis of multiple applied forces Three forces \( \mathbf{F}_1, \, \mathbf{F}_2, \text{ and } \mathbf{F}_3 \) having magnitudes \( F_1 = 87 \, \text{N}, \, F_2 = 165 \, \text{N}, \text{ and } F_3 = 53 \, \text{N} \), respectively, are applied to the member as shown. ([Figure 7](#)) Determine the magnitude of the moment of the force about point \( O \). **Round the magnitude of the moment of force, expressed in newton-meters, to three significant figures, if necessary.** \[ M_O = \underline{\makebox[2cm]{}} \, \text{N} \cdot \text{m} \] Make sure to follow the hints available if necessary for more detailed guidance.
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