- s first moment abo

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A. If the rectangular cutout were solid, what would be its first moment about the y axis?
(include units with answer)

B. If the semicircular cutout were solid, what would be its first moment about the y axis?
(include units with answer)

C. What would be the first moment of the solid trapezoid about the y axis if there were no cutouts?
(include units with answer)
Transcribed Image Text:A. If the rectangular cutout were solid, what would be its first moment about the y axis? (include units with answer) B. If the semicircular cutout were solid, what would be its first moment about the y axis? (include units with answer) C. What would be the first moment of the solid trapezoid about the y axis if there were no cutouts? (include units with answer)
**Diagram Overview:**

The diagram displays a trapezoid shaded in blue, with two cutouts, appearing in white: one semi-circular and one rectangular. The trapezoid and cutouts are not drawn to scale. 

**Measurements and Dimensions:**

- The trapezoid has a base of 11.0 cm.
- The height of the trapezoid along the vertical side is marked as 4.0 cm, while another segment on the height is marked as 3.3 cm.
- The semi-circular cutout has a radius of 3 cm.
- A rectangular cutout is placed near the top of the trapezoid, measuring 2 cm in width.
- The distances on the horizontal line from the left edge to the semi-circular cutout are 3 cm to the start of the curve and 2 cm to another marked point along the baseline.
- From the left edge to the left side of the rectangle, it measures 2 cm; extending further 5 cm encompasses the entire rectangular cutout.

**Note:** 
The area described comprises a solid blue trapezoid featuring two white cutouts—one that is rectangular and another that is semicircular.
Transcribed Image Text:**Diagram Overview:** The diagram displays a trapezoid shaded in blue, with two cutouts, appearing in white: one semi-circular and one rectangular. The trapezoid and cutouts are not drawn to scale. **Measurements and Dimensions:** - The trapezoid has a base of 11.0 cm. - The height of the trapezoid along the vertical side is marked as 4.0 cm, while another segment on the height is marked as 3.3 cm. - The semi-circular cutout has a radius of 3 cm. - A rectangular cutout is placed near the top of the trapezoid, measuring 2 cm in width. - The distances on the horizontal line from the left edge to the semi-circular cutout are 3 cm to the start of the curve and 2 cm to another marked point along the baseline. - From the left edge to the left side of the rectangle, it measures 2 cm; extending further 5 cm encompasses the entire rectangular cutout. **Note:** The area described comprises a solid blue trapezoid featuring two white cutouts—one that is rectangular and another that is semicircular.
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