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The purpose of this experiment is to find the rotational inertia of a ring and a disk
experimentally and to verify that these values correspond to the calculated theoretical values.
!;$&6"
Theoretically, the rotational inertia,
I
, of a ring about its center of mass is given by:
where
M
is the mass of the ring,
R
1
is the inner radius of the ring, and
R
2
is the outer radius of the ring. See Figure 4.1a.
The rotational inertia of a disk about its center of mass (Figure 4.1b) is
given by:
where
M
is the mass of the disk and
R
is the radius of the disk. The
rotational inertia of a disk about its diameter (Figure 4.1c) is given by:
I
= 1
2
MR
2
I
= 1
4
M R
2
I
= 1
2
M
(
R
1
2
+
R
2
2
)
Figure 4.1b
Disk rotating about its center of mass
Figure 4.1c
Disk rotating about its diameter
R
1
R
2
Figure 4.1a
Definition of R
1
and R
2
of a ring
Содержание ME-8930
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