Mass Moment of Inertia of a Composite Body

[aaronfue]

Homework Statement

In the image attached, I'm asked to find the mass moment of inertia about an axis at point O that's perpendicular to the page.

The Attempt at a Solution

The only question about this problem that I have is:

Can I divide the composite body at point O and find the moments of inertia of each part separately, applying the parallel axis theorem for the disk and the vertical rod, then adding all of them up?

Thanks!

 

[SteamKing]

You can.