Find the Centroid with respect to the origin shown Origin W 12 X 40

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Find the Centroid with respect to the origin point.

### Finding the Centroid with Respect to the Origin

#### Components:

- **C 12 X 25**: Represented by a blue beam, located at the top of the structure.
- **W 12 X 40**: Represented by an orange beam, located vertically in the middle and extending horizontally at the bottom.

#### Diagram Description:

- The image displays a structural diagram composed of two beams: one blue (C 12 X 25) and one orange (W 12 X 40). 
- The blue beam is placed horizontally on top, forming a T-shape with the vertical orange beam.
- The orange beam extends vertically and splits into a horizontal section at the base.
- The origin is marked by a black dot at the bottom left corner of the diagram.

#### Objective:

- **Task**: Find the centroid of the composite shape with respect to the marked origin.

This exercise involves calculating the centroid position using the properties of composite areas, considering the distinct dimensions assigned to each beam section.
Transcribed Image Text:### Finding the Centroid with Respect to the Origin #### Components: - **C 12 X 25**: Represented by a blue beam, located at the top of the structure. - **W 12 X 40**: Represented by an orange beam, located vertically in the middle and extending horizontally at the bottom. #### Diagram Description: - The image displays a structural diagram composed of two beams: one blue (C 12 X 25) and one orange (W 12 X 40). - The blue beam is placed horizontally on top, forming a T-shape with the vertical orange beam. - The orange beam extends vertically and splits into a horizontal section at the base. - The origin is marked by a black dot at the bottom left corner of the diagram. #### Objective: - **Task**: Find the centroid of the composite shape with respect to the marked origin. This exercise involves calculating the centroid position using the properties of composite areas, considering the distinct dimensions assigned to each beam section.
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