Angular Momentum Shapes Formulas

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Last updated 2:35 AM on 4/20/26
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8 Terms

1
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Solid cylinder or disc, symmetry axis

I = ½ MR²

2
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Hoop about symmetry axis`

I = MR²

3
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Solid Sphere

I = 2/5 MR²

4
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Rod about center

I = 1/12 ML²

L = length

5
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Solid cylinder, central diameter

I = ¼ ML² + 1/12 ML²

6
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Hoop about diameter

I = ½ MR²

7
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Thin spherical shell

I = 2/3 MR²

8
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Rod about end

I = 1/3 ML²