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 = 1.50 ft, where a is the diameter of the semi-circle,b = 3.74 ft, and c = 2.45 ft. A hole with diameter d = 0.700 ft is centered at (1.17, 0.750). Figure b X 1 of 2 >

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 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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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 = 1.50 ft, where a is the diameter of
the semi-circle,b = 3.74 ft, and c = 2.45 ft. A hole
with diameter d = 0.700 ft is centered at
(1.17, 0.750).
Figure
k
a
kda
b
1 of 2
Transcribed Image Text: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 = 1.50 ft, where a is the diameter of the semi-circle,b = 3.74 ft, and c = 2.45 ft. A hole with diameter d = 0.700 ft is centered at (1.17, 0.750). Figure k a kda b 1 of 2
Part B
Find , the x-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
► View Available Hint(s)
x =
Submit
Part C
| ΑΣΦΑ
X Incorrect; Try Again
Previous Answers
Y =
vec
VG ΑΣΦ | 11
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)
vec
XXXX
ESSSSA
?
ft
ft
Transcribed Image Text:Part B Find , the x-coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. ► View Available Hint(s) x = Submit Part C | ΑΣΦΑ X Incorrect; Try Again Previous Answers Y = vec VG ΑΣΦ | 11 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) vec XXXX ESSSSA ? ft ft
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