Figure P5.5 ### Locating the Centroid of Plane AreasThe figures below illustrate various plane areas for which the centroid needs to be determined. Each figure is described with its respective measurements.#### Fig. P5.1- A composite rectangle.- Vertical dimension: 300 mm.- Horizontal dimensions: 200 mm for the left section and 400 mm for the right section.- Offset vertical dimension on the left: 150 mm.#### Fig. P5.2- A trapezoidal shape with a triangular section on the right.- Vertical dimension: 12 inches.- Horizontal dimensions: 10 inches for the flat left section, 9 inches for the triangular section.- The triangle is situated on top, creating a step on the left side of 8 inches.#### Fig. P5.3- A right-angled triangle.- Vertical height: 270 mm.- Base width: 135 mm.- Top horizontal offset: 90 mm.#### Fig. P5.4- A rectangle with a right triangular cutout on the bottom left.- Vertical dimension: 24 inches.- Horizontal dimensions: 21 inches in total, with a triangular cutout.- Height of the triangular section: 16 inches.- Width of the rectangular extension on the right: 13 inches.#### Fig. P5.5- A semicircular shape attached to a rectangular base.- Radius of the semicircle: 225 mm.- Base horizontal length: 375 mm.#### Fig. P5.6- A rectangle with a semicircular cutout at the top center.- Overall rectangle dimensions: 9 inches by 8 inches.- Semicircular cutout: 4.5 inches radius (9 inches diameter), centered along the top width.These diagrams present geometric configurations frequently used in engineering and physics. The centroid, known as the geometric center of a plane area, is an essential concept in structural analysis and design.

According to the bartleby policy , i am solving first three subparts only sol:- part 1,…

Answered: 5.1 through 5.8 Locate the centroid of…

Engineering

Mechanical Engineering

5.1 through 5.8 Locate the centroid of the plane area shown.

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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Question

Figure P5.5

### Locating the Centroid of Plane Areas

The figures below illustrate various plane areas for which the centroid needs to be determined. Each figure is described with its respective measurements.

#### Fig. P5.1
- A composite rectangle.
- Vertical dimension: 300 mm.
- Horizontal dimensions: 200 mm for the left section and 400 mm for the right section.
- Offset vertical dimension on the left: 150 mm.

#### Fig. P5.2
- A trapezoidal shape with a triangular section on the right.
- Vertical dimension: 12 inches.
- Horizontal dimensions: 10 inches for the flat left section, 9 inches for the triangular section.
- The triangle is situated on top, creating a step on the left side of 8 inches.

#### Fig. P5.3
- A right-angled triangle.
- Vertical height: 270 mm.
- Base width: 135 mm.
- Top horizontal offset: 90 mm.

#### Fig. P5.4
- A rectangle with a right triangular cutout on the bottom left.
- Vertical dimension: 24 inches.
- Horizontal dimensions: 21 inches in total, with a triangular cutout.
- Height of the triangular section: 16 inches.
- Width of the rectangular extension on the right: 13 inches.

#### Fig. P5.5
- A semicircular shape attached to a rectangular base.
- Radius of the semicircle: 225 mm.
- Base horizontal length: 375 mm.

#### Fig. P5.6
- A rectangle with a semicircular cutout at the top center.
- Overall rectangle dimensions: 9 inches by 8 inches.
- Semicircular cutout: 4.5 inches radius (9 inches diameter), centered along the top width.

These diagrams present geometric configurations frequently used in engineering and physics. The centroid, known as the geometric center of a plane area, is an essential concept in structural analysis and design.

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