COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 70.
a
At x = a : b = ke a
First note:
or k =
Now
b
b x
; y = ea
e
e
I xy = ∫ xydA
b ax
a ee
0 0
=∫ ∫
=
xydydx
1 b 2 a 2ax
∫ xe dx
2 e2 0
a
2x
2
a
1b e 2
=
x − 1
2 e2 2 2 a
0
a
=
1 b2 a 2 2
e (1) − (1)( −1)
2 e2 4
=
a 2b 2 2
e +1
8e 2
(
)
I xy = 0.1419a 2b 2