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Moments of Inertia

Object Location
of Axis		 Moment
of Inertia		 Radius of
Gyration
Thin Loop of radius, R Through
Center		 MR2

R
Uniform cylinder of radius, R Through
Center		 1/2 MR2

R
----
2 1/2

Uniform sphere of radius, R Through
Center		 2/5 MR2

  2         
( -- )1/2 R
5        

Long uniform rod of length, L Through
Center		 1/12 ML2

L
---------
12 1/2
Long uniform rod of length, L Through
End		 1/3 ML2

L
----------
3 1/2

 

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