COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 134.
Have
dB =
(a)
and
4
− d A = ( 0.33333 − d A ) ft
12
I AA′ = I GG′ + md A2
I BB′ = I GG′ + md B2
Then
(
I BB′ − I AA′ = m d B2 − d A2
)
2
= m ( 0.33333 − d A ) − d A2
= m ( 0.11111 − 0.66666d A )
Then
(1.26 − 0.6 ) × 10−3 lb ⋅ ft ⋅ s2
=
or
0.40 lb
( 0.11111 − 0.66666d A ) ft 2
32.2 ft/s 2
d A = 0.08697 ft
d A = 1.044 in.
or
I AA′ = I GG′ + md A2
(b)
or
I GG′ = 0.6 × 10−3 lb ⋅ ft ⋅ s 2
−
0.4 lb
2
0.08697 ft )
2(
32.2 ft /s
= 0.50604 × 10−3 lb ⋅ ft ⋅ s 2
Then
2
kGG
′ =
I GG′
0.50604 × 10−3 lb ⋅ ft ⋅ s 2
=
0.4 lb
m
32.2 ft/s 2
= 0.04074 ft 2
kGG′ = 0.20183 ft = 2.4219 in.
or kGG′ = 2.42 in.
COSMOS Chapter 9 Solution 134
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