Moments of Inertia of Uniform Bodies

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11 Terms

1
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<p>Thin cylindrical shell about axis</p>

Thin cylindrical shell about axis

I=MR²

2
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<p>Thin cylindrical shell about diameter through center</p>

Thin cylindrical shell about diameter through center

I=1/2MR² + 1/12 ML²

3
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<p>Thin rod about perpindicular line through center</p>

Thin rod about perpindicular line through center

I=1/12MR²

4
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<p>Thin spherical shell about diameter</p>

Thin spherical shell about diameter

I=2/3MR²

5
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<p>Solid cylinder about axis</p>

Solid cylinder about axis

I=1/2MR²

6
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<p>Solid cylinder about diameter through center</p>

Solid cylinder about diameter through center

I=1/4MR²+1/12ML²

7
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<p>Thin rod about perpindicular line through one end</p>

Thin rod about perpindicular line through one end

I=1/3ML²

8
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<p>Solid sphere about diameter</p>

Solid sphere about diameter

I=2/5MR²

9
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<p>Hollow cylinder about axis</p>

Hollow cylinder about axis

I=1/2M(R(1)²+R(2)²)

10
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<p>Hollow cylinder about diameter through center</p>

Hollow cylinder about diameter through center

I=1/4M(r(1)²+R(2)²)+1/12ML²

11
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<p>Solid rectangular parallelepiped about axis through center perpindicualr to face</p>

Solid rectangular parallelepiped about axis through center perpindicualr to face

I=1/12M(a²+b²)