5.1 through 5.8 Locate the centroid of the plane area shown. y| 90 mm 135 mm -10 in. -9 in. 300 mm 12 in. 270 mm 150 mm 8 in. +200 mm 400 mm- Fig. P5.1 Fig. P5.2 Fig. P5.3 8 in. 9 in. 24 in. 4.5 in. 6 in. 225 mm 9 in. 16 in. +21 in. 13 in. 375 mm Fig. P5.4 Flg. P5.5 Fig. P5.6

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Figure P5.4

### 5.1 through 5.8: Locate the Centroid of the Plane Area Shown

This section provides a series of figures illustrating different plane areas for which the centroid must be located.

#### Figure Descriptions:

**Fig. P5.1:**
- A composite shape consisting of two rectangles. 
- The larger rectangle measures 400 mm in length and 300 mm in height.
- The smaller rectangle, located on the left side, is 200 mm in length and 150 mm in height.
- Coordinate axes are marked as x and y.

**Fig. P5.2:**
- A trapezoidal shape, consisting of a rectangle and a right triangle.
- Total base width is 19 inches; the rectangle’s base is 10 inches, and the triangle's base is 9 inches.
- The height of both the rectangle and triangle is 8 inches and 12 inches, respectively.
- Coordinate axes are marked as x and y.

**Fig. P5.3:**
- An isosceles triangle with a base of 270 mm and a height of 135 mm.
- Dimension from the left edge to the centroid in the base direction is 90 mm.
- Coordinate axes are marked as x and y.

**Fig. P5.4:**
- A rectangular form with a right-angled triangular cutout in the top-left corner.
- Total height is 24 inches; total width is 34 inches, with 16-inch and 21-inch sections comprising the base of the triangle.
- Coordinate axes are marked as x and y.

**Fig. P5.5:**
- A semi-circular shape atop a rectangular base.
- The rectangle is 375 mm wide; the radius of the semi-circle is 225 mm.
- Coordinate axes are marked as x and y.

**Fig. P5.6:**
- A rectangle with a semi-circular cutout at the base.
- Total dimensions are 18 inches wide and 9 inches high, with a circular cutout of 6 inches diameter.
- Coordinate axes are marked as x and y.

These illustrations serve as practice examples for locating the centroid of various composite plane areas. Each figure displays its dimensions and x-y axes for reference.
Transcribed Image Text:### 5.1 through 5.8: Locate the Centroid of the Plane Area Shown This section provides a series of figures illustrating different plane areas for which the centroid must be located. #### Figure Descriptions: **Fig. P5.1:** - A composite shape consisting of two rectangles. - The larger rectangle measures 400 mm in length and 300 mm in height. - The smaller rectangle, located on the left side, is 200 mm in length and 150 mm in height. - Coordinate axes are marked as x and y. **Fig. P5.2:** - A trapezoidal shape, consisting of a rectangle and a right triangle. - Total base width is 19 inches; the rectangle’s base is 10 inches, and the triangle's base is 9 inches. - The height of both the rectangle and triangle is 8 inches and 12 inches, respectively. - Coordinate axes are marked as x and y. **Fig. P5.3:** - An isosceles triangle with a base of 270 mm and a height of 135 mm. - Dimension from the left edge to the centroid in the base direction is 90 mm. - Coordinate axes are marked as x and y. **Fig. P5.4:** - A rectangular form with a right-angled triangular cutout in the top-left corner. - Total height is 24 inches; total width is 34 inches, with 16-inch and 21-inch sections comprising the base of the triangle. - Coordinate axes are marked as x and y. **Fig. P5.5:** - A semi-circular shape atop a rectangular base. - The rectangle is 375 mm wide; the radius of the semi-circle is 225 mm. - Coordinate axes are marked as x and y. **Fig. P5.6:** - A rectangle with a semi-circular cutout at the base. - Total dimensions are 18 inches wide and 9 inches high, with a circular cutout of 6 inches diameter. - Coordinate axes are marked as x and y. These illustrations serve as practice examples for locating the centroid of various composite plane areas. Each figure displays its dimensions and x-y axes for reference.
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