COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 113.
Mass = m = ρ tA
I mass = ρ tI area =
Area = A =
m
I area
A
1 2
πa
2
I AA′, area = I DD′, area =
I AA′, mass = I DD′, mass =
(a)
2
I BB′ = I DD′ − m ( AC ) =
1π 4 1 4
a = πa
2 4 8
m
m 1 4 1 2
I AA′, area =
π a = ma
1 2 8
A
4
πa
2
1 2
4a
ma − m
4
3π
= ( 0.25 − 0.1801) ma 2
2
I BB′ = 0.0699 ma 2
(b) Eq. ( 9.38 ) :
I CC ′ = I AA′ + I BB′
=
1 2
ma + 0.0699ma 2
4
I CC ′ = 0.320 ma 2