COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 187.
At
x = 0, y = 0: 0 = ka 2 + c
or k = −
x = a,
y = b:
∴k = −
y =−
=−
Now
c
a2
b=c
b
a2
b
2
x − a) + b
2(
a
b 2
x − 2ax + a 2 + b
a2
(
)
dI y = x 2dA = x 2 ( y2 − y1 ) dx
b
2b
x + b − b dx
= x2 b + 2 x2 −
a
a
2b 3
b
= 2 x4 −
x + bx 2 dx
a
a
2b 3
a b
I y = ∫0 2 x 4 −
x + bx 2 dx
a
a
a
b 4 b 3
1 b 5
=
x −
x + x
2
2a
3 0
5 a
1 1 1
= a3b − +
5 2 3
=
1 3
ab
30
Iy =
1 3
ab
30
COSMOS Chapter 9 Solution 187
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