Determine the x- and y-coordinates of the centroid of the shaded area. (Answer: x = 7.71 in, 4.11 in)
Determine the x- and y-coordinates of the centroid of the shaded area. (Answer: x = 7.71 in, 4.11 in)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the x- and y-coordinates of the centroid of the shaded area. (Answer: x = 7.71 in, 4.11 in)

Transcribed Image Text:The image depicts a geometric shape with a right-angled triangular section combined with a circular cutout. The overall form is a trapezoidal block, primarily positioned in the plane as follows:
- The trapezoid has a base length of 10 inches along the x-axis.
- The left side of the trapezoid, perpendicular to the x-axis, is 6 inches tall.
- The opposite side, which is not parallel to the x-axis but forms the slant of the trapezoid, joins the top of the left side to a 6-inch high point on the right.
Within the trapezoid, there is a circle located in the left section. The circle has:
- A radius of 3 inches, centered at a point 4 inches above the x-axis and 6 inches from the left vertical side.
This layout creates a shape within a 6-inch by 10-inch boundary, where the top surface of the block slopes down from the top left corner to a height of 6 inches at the right side.
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