AP Physics C moment of inertia

Thin hoop, radius R, axis through center

MR^2

Thin hoop, radius R, width W, axis through central diameter

(1/2)MR^2 + (1/12)MW^2

Solid cylinder, radius R, axis through center

(1/2)MR^2

Hollow cylinder, inner radius R1, outer radius R2, axis through center

(1/2)M(R1^2 + R2^2)

Uniform sphere, radius R, axis through center

(2/5)MR^2

Long uniform rod, length L, axis through center

(1/12)ML^2

Long uniform rod, length L, axis through end

(1/3)ML^2

Rectangular thin plate, length L, width W, axis through center

(1/12)M(L^2 + W^2)

Disk around center

1/2MR^2

Disk around diameter

1/4MR^2