Find the centroid C(x, y, z) of the machine element shown in the figure below with respect to the given axis. r = 1 in. 4 in. 1 in 1 in. 3 in.. 6 in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Find the centroid C(x, y, z) of the machine element shown in
the figure below with respect to the given axis.
r = 1 in.
4 in.
1 in
1 in.
3 in..
6 in.
Transcribed Image Text:Find the centroid C(x, y, z) of the machine element shown in the figure below with respect to the given axis. r = 1 in. 4 in. 1 in 1 in. 3 in.. 6 in.
Shape
Triangular area
Quarter-circular
area
Semicircular area
Quarter-elliptical
area
Semielliptical
area
Semiparabolic
area
Parabolic area
Parabolic spandrel
O
y
с
가슴아슴이
Ty
y=kx²
C•
O
O
0
h
C
a
a
b
A
h
+
x
4r
3πT
0
4a
377
0
8
0
3a
y
4r
3π
4r
Зп
4b
3πT
4b
3π
3h
3h
10
Area
bh
2
Tr²
Tr2
2
mab
4
mab
2
2ah
3
4ah
3
ah
❤
Transcribed Image Text:Shape Triangular area Quarter-circular area Semicircular area Quarter-elliptical area Semielliptical area Semiparabolic area Parabolic area Parabolic spandrel O y с 가슴아슴이 Ty y=kx² C• O O 0 h C a a b A h + x 4r 3πT 0 4a 377 0 8 0 3a y 4r 3π 4r Зп 4b 3πT 4b 3π 3h 3h 10 Area bh 2 Tr² Tr2 2 mab 4 mab 2 2ah 3 4ah 3 ah ❤
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