Moments of Inertia of Uniform Bodies
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Last updated 4:17 PM on 5/12/25
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11 Terms
1
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Thin cylindrical shell about axis
I=MR²
2
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Thin cylindrical shell about diameter through center
I=1/2MR² + 1/12 ML²
3
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Thin rod about perpindicular line through center
I=1/12MR²
4
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Thin spherical shell about diameter
I=2/3MR²
5
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Solid cylinder about axis
I=1/2MR²
6
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Solid cylinder about diameter through center
I=1/4MR²+1/12ML²
7
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Thin rod about perpindicular line through one end
I=1/3ML²
8
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Solid sphere about diameter
I=2/5MR²
9
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Hollow cylinder about axis
I=1/2M(R(1)²+R(2)²)
10
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Hollow cylinder about diameter through center
I=1/4M(r(1)²+R(2)²)+1/12ML²
11
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Solid rectangular parallelepiped about axis through center perpindicualr to face
I=1/12M(a²+b²)
Note 
Flashcards (99)