8.4 Moment of Inertia and Rotational Dynamics

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Moment of Inertia and Rotational Dynamics

ROTATIONAL DYNAMICS
Newton’s Rotational
2nd Law of Motion
Moment of
Inertia
∑τ = Iα I = ∑mr2
MOMENT OF INERTIA
Rod rotating about its center

I = 1/12 ML2
Rod rotating about one end

I = ⅓ ML2
Solid Sphere

I = 2/5 MR2
Thin Sperical Shell

I = ⅔ MR2
Solid Cylinder / Disk

I = ½ MR2
Hollow Cylinder

I = MR2