COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 121.
b = ka 2
x = a, y = b:
At
y =
Then
or
k =
b 2
x
a2
b
a2
( )
dm = ρ π r 2 dx
Now
2
b
= πρ 2 x 2 dx
a
Then
m = πρ
b2 a 4
∫ x dx
a4 0
a
1
b2
= πρ 4 x5
5
a
0
=
Now
1
πρ ab 2
5
or
πρ =
5m
ab 2
2
2
1 b
1
b
d I x = r 2 dm = 2 x 2 πρ 2 x 2 dx
2 a
2
a
=
5m 1 b 2 4 b 2 4
5 b2 8
x
x
dx
m x dx
×
×
=
2 a9
ab 2 2 a 4
a4
a
Then..
5 b2 a
5 b2 1
I x = m 9 ∫0 x8dx = m 9 × x9
2 a
2 a
9 0
or I x =
5
mb 2
18
COSMOS Chapter 9 Solution 121
of 1
Report
Tell us what’s wrong with it:
Thanks, got it!
We will moderate it soon!
Free up your schedule!
Our EduBirdie Experts Are Here for You 24/7! Just fill out a form and let us know how we can assist you.
Take 5 seconds to unlock
Enter your email below and get instant access to your document