**Determine the coordinates of the centroid of the shaded area.**The image shows a composite shape, which includes a rectangle and a quarter-circle cutout. The rectangle has a height of 3.9 inches and a width of 8.6 inches. The quarter-circle cutout has a radius of 2.0 inches located at the top right corner of the rectangle.**Answers:**The centroid coordinates \((\bar{X}, \bar{Y}) = (\_\_\_, \_\_\_) \text{ in.}\) (Fill in the text boxes with the correct values for the centroid coordinates.)

Let rectangle be denoted as 1 and quadrant of circle be denoted as 2 X co-ordinate of centroid can…

Answered: Determine the coordinates of the…

Engineering

Mechanical Engineering

Determine the coordinates of the centroid of the shaded area. 2.0" 3.9" 8.6"

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.43P

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

**Determine the coordinates of the centroid of the shaded area.**

The image shows a composite shape, which includes a rectangle and a quarter-circle cutout. The rectangle has a height of 3.9 inches and a width of 8.6 inches. The quarter-circle cutout has a radius of 2.0 inches located at the top right corner of the rectangle.

**Answers:**

The centroid coordinates \((\bar{X}, \bar{Y}) = (\_\_\_, \_\_\_) \text{ in.}\)

(Fill in the text boxes with the correct values for the centroid coordinates.)

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