Learning Goal: A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments centroids. An object is made from a uniform piece of sheet metal. The object has dimensions of a -1.45 ft, where a is the diameter of the semi-circle,b=3.24 ft, and c=2.10 ft. A hole with diameter d=0.500 ft is centered at (1.13,0.725).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.13P: The parametric equations of the plane curve known as a cycloid are x=a(sin) and y=a(1cos). Use...
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Learning Goal:
A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its
center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into
regular shaped segments, and then by calculating the weighted average of the segments' centroids.An
object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.45 ft, where a is
the diameter of the semi-circle, b = 3.24 ft, and c = 2.10 ft. A hole with diameter d = 0.500 ft is centered
at (1.13, 0.725).
Figure
X
1 of 2
Part A
Find the area of the body. (Figure 1)
Express your answer numerically in feet squared to three significant figures.
► View Available Hint(s)
VE ΑΣΦ41 | vec
A = 1.52
Submit
* Incorrect; Try Again; 5 attempts remaining
Part B
I=
Find I, the x-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
► View Available Hint(s)
Submit
Previous Answers
Part C
y =
15. ΑΣΦ
AΣ¢vec 4
?
Find y, the y-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
▸ View Available Hint(s)
ΠΙΑΣΦ
vec 4 •
C (3 ?
?
ft²
ft
ft
Transcribed Image Text:Learning Goal: A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.45 ft, where a is the diameter of the semi-circle, b = 3.24 ft, and c = 2.10 ft. A hole with diameter d = 0.500 ft is centered at (1.13, 0.725). Figure X 1 of 2 Part A Find the area of the body. (Figure 1) Express your answer numerically in feet squared to three significant figures. ► View Available Hint(s) VE ΑΣΦ41 | vec A = 1.52 Submit * Incorrect; Try Again; 5 attempts remaining Part B I= Find I, the x-coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. ► View Available Hint(s) Submit Previous Answers Part C y = 15. ΑΣΦ AΣ¢vec 4 ? Find y, the y-coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. ▸ View Available Hint(s) ΠΙΑΣΦ vec 4 • C (3 ? ? ft² ft ft
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