PROBLEM 7.10 7.11 A thin steel plate, having the dimensions shown, contains three 2-in.-diameter holes. Note the axis of symmetry. Locate the centroid of the area. 3" t Sym. T 2" diam. 1 (typ.) 8" 3" 4" 3"

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thin steel plate, having the deimnsions shown, contains three 2 - in. diameter holes. Note the axis of symmetry. locate the centroid of the area.

**Problem 7.11**

A thin steel plate, having the dimensions shown, contains three 2-inch diameter holes. Note the axis of symmetry. Locate the centroid of the area.

**Diagram Explanation:**

The diagram illustrates a trapezoidal steel plate with three circular holes, each with a diameter of 2 inches. The dimensions of the trapezoid and holes are as follows:

- The top width of the trapezoid is unspecified.
- The bottom width of the trapezoid is 8 inches.
- The height of the trapezoid is composed of segments: 3 inches at the top, 4 inches in the middle, and 3 inches at the bottom.
- The circles are evenly spaced along the vertical axis of symmetry.
- The distance between the top edge of the trapezoid and the center of the top hole is 3 inches.
- The center of the middle hole is at a central vertical position.
- The center of the bottom hole lies 3 inches above the bottom edge of the trapezoid.

There is a vertical dashed line indicating the axis of symmetry. Each hole is centered along this axis, suggesting symmetrical placement.
Transcribed Image Text:**Problem 7.11** A thin steel plate, having the dimensions shown, contains three 2-inch diameter holes. Note the axis of symmetry. Locate the centroid of the area. **Diagram Explanation:** The diagram illustrates a trapezoidal steel plate with three circular holes, each with a diameter of 2 inches. The dimensions of the trapezoid and holes are as follows: - The top width of the trapezoid is unspecified. - The bottom width of the trapezoid is 8 inches. - The height of the trapezoid is composed of segments: 3 inches at the top, 4 inches in the middle, and 3 inches at the bottom. - The circles are evenly spaced along the vertical axis of symmetry. - The distance between the top edge of the trapezoid and the center of the top hole is 3 inches. - The center of the middle hole is at a central vertical position. - The center of the bottom hole lies 3 inches above the bottom edge of the trapezoid. There is a vertical dashed line indicating the axis of symmetry. Each hole is centered along this axis, suggesting symmetrical placement.
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