2. In the design of an automotive control arm it is known that the spring force Fs =800N. Find the moment of this force about the bushing at A using vector cross products. MA= r x F 15° B 420 mm 170 mm E 190 mm 120 mm 180 D mm

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Statement:**

2. In the design of an automotive control arm, it is known that the spring force \( F_s = 800 \, \text{N} \). Find the moment of this force about the bushing at \( A \) using vector cross products. The equation for the moment is given by \(\mathbf{M}_A = \mathbf{r} \times \mathbf{F}\).

**Diagram Explanation:**

The diagram shows the layout of an automotive control arm. It is a 3D schematic with several key points marked and used for calculating the moment. Here are the important details:

- **Coordinate Axes**: The diagram depicts three axes: \(x\), \(y\), and \(z\), indicating a three-dimensional space.
- **Points and Distances**:
  - **Point E**: The application point of the force \( F_s \).
  - **Point A**: The point about which the moment is calculated. It is located at the origin of the \(z\)-axis.
  - **Point B** is on the top edge directly above where the spring force is applied.
  - **Distance from A to E**:
    - Along the \(x\)-axis: 420 mm
    - Along the \(y\)-axis: 190 mm
- **Spring Force \( F_s \)**: 
  - It acts at a 15-degree angle to the vertical, labeled at point E.
  - The magnitude of this force is 800 N.

Use the vector cross product and the given dimensions to find the moment about point A.
Transcribed Image Text:**Problem Statement:** 2. In the design of an automotive control arm, it is known that the spring force \( F_s = 800 \, \text{N} \). Find the moment of this force about the bushing at \( A \) using vector cross products. The equation for the moment is given by \(\mathbf{M}_A = \mathbf{r} \times \mathbf{F}\). **Diagram Explanation:** The diagram shows the layout of an automotive control arm. It is a 3D schematic with several key points marked and used for calculating the moment. Here are the important details: - **Coordinate Axes**: The diagram depicts three axes: \(x\), \(y\), and \(z\), indicating a three-dimensional space. - **Points and Distances**: - **Point E**: The application point of the force \( F_s \). - **Point A**: The point about which the moment is calculated. It is located at the origin of the \(z\)-axis. - **Point B** is on the top edge directly above where the spring force is applied. - **Distance from A to E**: - Along the \(x\)-axis: 420 mm - Along the \(y\)-axis: 190 mm - **Spring Force \( F_s \)**: - It acts at a 15-degree angle to the vertical, labeled at point E. - The magnitude of this force is 800 N. Use the vector cross product and the given dimensions to find the moment about point A.
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