80mm 60mm Vax's Gomm 40mm Find the location of the Controid. Show All work. 1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Title:** Finding the Centroid of a Composite Shape

**Objective:** To calculate and understand the process of finding the centroid of a given composite shape.

**Diagram Explanation:**

The diagram depicts a composite shape with a circular cutout. The shape is outlined as follows:

1. A large rounded shape, similar to a teardrop or a sector of a circle, is shaded dark and includes a vertical and horizontal edge meeting at a right angle.
2. Embedded within the larger shape is a smaller circle.
3. The dimensions are annotated as follows:
   - The radius of the smaller circle is marked as 40 mm.
   - The diameter of the outer circular edge of the shaded area is 60 mm.
   - Distance from the bottom edge of the shaded area to the central horizontal line is 60 mm.
   - Vertical height from the center of the smaller circle to the top point of the shaded area is 80 mm.

**Task:** 

- **Find the location of the centroid. Show all work.**

The diagram is depicted on a background with horizontal ruled lines, typically found in a notebook, and the central axes (x-axis and y-axis) are indicated with arrows.

To solve this, it would involve breaking down the composite shape into simpler geometric figures, calculating the centroid of each, and then determining the overall centroid using the method of composite figures, which involves taking the weighted average of the centroids based on their areas.
Transcribed Image Text:**Title:** Finding the Centroid of a Composite Shape **Objective:** To calculate and understand the process of finding the centroid of a given composite shape. **Diagram Explanation:** The diagram depicts a composite shape with a circular cutout. The shape is outlined as follows: 1. A large rounded shape, similar to a teardrop or a sector of a circle, is shaded dark and includes a vertical and horizontal edge meeting at a right angle. 2. Embedded within the larger shape is a smaller circle. 3. The dimensions are annotated as follows: - The radius of the smaller circle is marked as 40 mm. - The diameter of the outer circular edge of the shaded area is 60 mm. - Distance from the bottom edge of the shaded area to the central horizontal line is 60 mm. - Vertical height from the center of the smaller circle to the top point of the shaded area is 80 mm. **Task:** - **Find the location of the centroid. Show all work.** The diagram is depicted on a background with horizontal ruled lines, typically found in a notebook, and the central axes (x-axis and y-axis) are indicated with arrows. To solve this, it would involve breaking down the composite shape into simpler geometric figures, calculating the centroid of each, and then determining the overall centroid using the method of composite figures, which involves taking the weighted average of the centroids based on their areas.
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