Find: centroidal Ix, = centroidal ly Ix= ly= 1 in 1in y 1 in 3 in 1 in X

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Find:
centroidal Ix, =
centroidal ly
Ix=
ly=
1 in
1in
y 1 in
3 in
1 in
X
Transcribed Image Text:Find: centroidal Ix, = centroidal ly Ix= ly= 1 in 1in y 1 in 3 in 1 in X
J₁
Im
110
FIGURE
4-0,
▾
jy ly
FIGURE
2₁
AREA
5.7146
EAT
T
2 Ay 31/
€ (1₁-1) ²² 6.12.08
L
"1₁
1.5
.
ZAT: 5.7146
EA.X₁ 67/
(X-X)¹
sin
AREA
Sin
T/A
1.5
:
Ye
I
5/3
3.4859
L
1.in
1/3
2.5
A w
A: //bb
9.197X10
0.23
0.58
:
X₂
LAxe frei)²
2
16
"/3.7 1/3
3
4.5
x=² Axe :
Pr
31/6
€ AT
5.7146
1x²1x₁¹ A₁ ε(y₁ - y)²
11.4075+ (5-7146) (0.8201)
6.09 14
2.1068x10
2.3349
1.0939
676
A²
fir
Elx = 1xe + A (4₁-4²
2.74
0.577
0.956
T
=0.9,041
1x=1.4675 in
fixly₂ +A (1₁-x)²
10.6835
2.0341
2-3909
1.9541
Ty6.2555 in
5-7146
Ly-Ty+ AT ≤ (x₁ - i)*
ly= 6.2585+ (5-7146) (3.9359).
ly= 25. 8933 104 1
Transcribed Image Text:J₁ Im 110 FIGURE 4-0, ▾ jy ly FIGURE 2₁ AREA 5.7146 EAT T 2 Ay 31/ € (1₁-1) ²² 6.12.08 L "1₁ 1.5 . ZAT: 5.7146 EA.X₁ 67/ (X-X)¹ sin AREA Sin T/A 1.5 : Ye I 5/3 3.4859 L 1.in 1/3 2.5 A w A: //bb 9.197X10 0.23 0.58 : X₂ LAxe frei)² 2 16 "/3.7 1/3 3 4.5 x=² Axe : Pr 31/6 € AT 5.7146 1x²1x₁¹ A₁ ε(y₁ - y)² 11.4075+ (5-7146) (0.8201) 6.09 14 2.1068x10 2.3349 1.0939 676 A² fir Elx = 1xe + A (4₁-4² 2.74 0.577 0.956 T =0.9,041 1x=1.4675 in fixly₂ +A (1₁-x)² 10.6835 2.0341 2-3909 1.9541 Ty6.2555 in 5-7146 Ly-Ty+ AT ≤ (x₁ - i)* ly= 6.2585+ (5-7146) (3.9359). ly= 25. 8933 104 1
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