Rational Inertia

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Unit 4

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9 Terms

1
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What is the inertia of a hoop about the central axis?

I = MR2

<p>I = MR<sup>2</sup> </p>
2
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What is the inertia of an annular cylinder (or ring) about the central axis?

I = ½M (R12 + R22)

<p>I = ½M (R<sub>1</sub><sup>2</sup> + R<sub>2</sub><sup>2</sup>)</p>
3
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What is the inertia of a solid cylinder (or disk) about the central axis?

I = ½MR2

<p>I = ½MR<sup>2</sup></p>
4
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What is the inertia of a solid cylinder (or disk) about the central diameter?

I = 1/4 MR2 + 1/12 Mℓ2

<p>I = 1/4 MR<sup>2</sup> + <span style="background-color: transparent; font-family: &quot;Times New Roman&quot;, serif;"><span>1/12 M</span></span><span><span>ℓ</span></span><span style="background-color: transparent; font-family: &quot;Times New Roman&quot;, serif;"><sup><span>2</span></sup></span></p>
5
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What is the inertia of a thin rod about the axis through a center perpendicular to length?

I = 1/12 Mℓ2

<p>I = 1/12 M<span><span>ℓ</span></span><sup>2</sup></p>
6
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What is the inertia of a solid sphere at about any diameter?

I = 2/5 MR2

<p>I = 2/5 MR<sup>2</sup></p>
7
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What is the inertia of a thin spherical shell at about any diameter?

I = 2/3 MR2

<p>I = 2/3 MR<sup>2</sup></p>
8
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What is the inertia of a hoop at any diameter?

I = ½MR2

<p>I = ½MR<sup>2</sup> </p>
9
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What is the inertia of a slab at about a perpendicular axis going through the center?

I = 1/12 M(a2 + b2)

<p>I = 1/12 M(a<sup>2</sup> + b<sup>2</sup>)</p>