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59. Their angular velocities, when they are stuck to each other, are equal, regardless of
whether they share the same central axis. The initial rotational inertia of the system is
II
I
I
M
R
0
2
1
2
=+
=
bigdisk
smalldisk
bigdisk
where
using Table 102(c). Similarly, since the small disk is initially concentric with the big one,
Im
r
smalldisk
=
1
2
2
. After it slides, the rotational inertia of the small disk is found from the
parallel axis theorem (using
h
=
R
–
r
). Thus, the new rotational inertia of the system is
()
2
22
11
.
I
MR
mr
m R r
+
−
(a) Angular momentum conservation,
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Inertia

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