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Moment of inertia of curved cuboid

Moment of inertia of curved cuboid

Moment of inertia of curved cuboid

Moment of inertia question for you:
I have a cuboid, like the first one in this link


only it is curved around the y (w in pic) axis such that the x (h in pic) axis touches the top and bottom ends of the cuboid and it is a parabolic curve that satisfies the following:
where r is the distance from the origin to the center of the cuboid and c is the chord length (in the x direction)
I need to find what the moment of inertia components would be, and I'm stumped. Any help would be greatly appreciated.

RE: Moment of inertia of curved cuboid

1) math ... integrate the volume ... I = int(y^2*dA)

2) cad ... draw your shape in the cad program of your choice, and as it for properties.

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