Moment of Inertia Formulas

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12 Terms

1
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Point Mass at a Radius R

I = MR^2

2
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Thin rod about axis through center perpendicular to length

I = 1/12(ML^2)

3
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Thin Rod about axis through end perpendicular to length

I = 1/3(ML^2)

4
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Thin-walled cylinder about central axis

I = MR^2

5
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Thick walled cylinder about central axis

I = 1/2M(R1^2+R2^2)

6
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Solid cylinder about central axis

I=1/2(MR^2)

7
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Solid cylinder about central diameter

I = 1/4(MR^2) + 1/12(ML^2)

8
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Solid sphere about center

I = 2/5(MR^2)

9
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Thin hollow sphere about center

I = 2/3(MR^2)

10
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Thin ring about diameter

I = 1/2(MR^2)

11
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Slab about perpendicular axis through center

I = 1/12M(a^2+b^2)

12
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Cone about central axis

I = 3/10(MR^2)