Recognize these things from anywhere else?
If you use a little bit of your imagination, the hemisphere looks somewhat like the platform-side of the orangish brown ball outside.
The hemisphere is an uncompleted counterweight for the lever. The blocks are weights that can be moved onto the hemisphere to create a heavier counterweight. If you found other weights like these in J'nanin, this puzzle will be a lot easier. If you didn't, you can either use trial and error or go back to J'nanin using the linking book located close to the "entrance" to the Age.