Moment of Inertia for Various Shapes

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11 Terms

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Net Torque

I*alpha = r x F

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Point Particle

I=mr²

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Thin Hoop

I=mr²

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Solid Disk

I=(1/2)mr²

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Solid Cylinder

I=(1/2)mr²

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Thin Rod (center)

I=(1/12)mL²

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Thin Rod (end)

I=(1/3)mL²

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Hollow Sphere

I=(2/3)mr²

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Solid Sphere

I=(2/5)mr²

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Parallel Axis Theorem

I new= I com + md²; shifts axis of rotation.

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Moment of Inertia (I)

Resistance to angular acceleration; depends on mass distribution.