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9.13
From Example 9.6.2,
0.2
α
′′
=
and
1.00327
s
I
I
=
It follows from equation 9.6.10 that, for
s
I
I
>
, the angle between
ω
G
and
is:
L
G
1
tan
tan
s
I
I
θα
−
−=−
For
so small,
tan
≈
, and
1
tan
tan
tan
s
ss
I
II
I
αα
−
≈≈
s
I
I
I
−
−≈−
=
.00327
0.2
0.00065
1.00327
αθ
−≈
=
arcsec
9.14
From Table 8.3.1,
2
2
ma
=
s
I
and
2
4
ma
I
=
3
ˆ
e
=
D
G
and
3
ˆ
ˆ
4
ma
Pe
=
G
3
P
G
0
G
G
Selecting the 2axis through the point of
impact, during the collision …
2
23
ˆˆ
ˆ
44
ma
ma
Ndt
r
p
ae
e
e
1
ˆ
=× =
×
=
∫
G
G
G
G
The only nonzero component of
is
.
During the collision
N
1
N
2
0
=
, so integrating
the first of Euler’s equations 9.3.5 …
2
11
Nd
t
I
1
=
∫
Immediately after the collision,
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.
 Fall '11
 JohnAnderson
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