Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. 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 = 1.55 ft, where a is the diameter of the semi- circle,b 3.74 ft, and c = 2.35 ft . A hole with diameter d = 0.750 ft is centered at (1.26, 0.775). gure < 1 of 2 > k-d k b

Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. 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 = 1.55 ft, where a is the diameter of the semi- circle,b 3.74 ft, and c = 2.35 ft . A hole with diameter d = 0.750 ft is centered at (1.26, 0.775). gure < 1 of 2 > k-d k b

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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Learning Goal:
To be able to find the center of gravity, the center of
mass, and the centroid of a composite body.
Part A
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 bodyng the weighted average
Find the area of the body. (Figure 1)
Express your answer numerically in feet squared to three significant figures.
into regular shaped
segments, and then by calculating i
of the segments' centroids.An object is made from a
uniform piece of sheet metal. The object has dimensions
of a = 1.55 ft , where a is the diameter of the semi-
circle,b = 3.74 ft, and c = 2.35 ft . A hole with diameter
d = 0.750 ft is centered at (1.26, 0.775).
> View Available Hint(s)
Vol AEO It vec
?
A =
ft?
Submit
Part B
Find a, the a-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
> View Available Hint(s)
Figure
< 1 of 2 >
vec
ft
k-d-
Submit
Part C
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)

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