The bell crank is..
The bell crank is on a slider because it allows the cam to do its thing to provide balance stability by raising/lowering the backend of the bike based on the tilt angle.
Basically, in order to raise or lower the backend of the bike, you need to either shorten or lengthen (respectively) the distance to the pivot point of the bell crank. If I put shorter rods on the device (all other things kept the same), it would raise the backend of the bike. If I put longer rods on the device, it would lower the backend. Moving the pivot point of the bell crank effectively does the same thing.
Stuff you don't have to read about other, alternate, designs which accomplish the same thing follows (
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There are some other ways of doing this biasing of the back-end height based on the angle:
One way is using a chain which goes over a toothed cam which changes its profile (distance from pivot) depending on how much chain has traveled (i.e. the tilt angle), but using a chain to support my weight gives me the heebie-jeebies, so I threw that solution out. I could probably just use a q-ring (or something like one) for this, were I to give it a try, though, since this is effectively what it does. Here is a video from someone in Japan who did use a chain for a tilting trike, but doesn't do any balance-assist stuff (https://www.youtube.com/watch?v=5g8wHnrGLj0).
Another way of doing this is to have the rear wheels fixed, always perpendicular to the ground, and pivot the rest of the bike (similar to Jenson's delta trike ?https://www.youtube.com/watch?v=MdSLRD_2vzc). You can then have a cam on the rear which raises/lowers the backend based on the angle. This is difficult to machine (the profile of the cam requires a funky shape since the angle of the idler engagement changes as it rotates... ick), and so I decided not to try that, though it might be a good eventual solution (and would be lightweight).
Yet another way is to have the swing-arms engage a gear which is non-circular. The amount of travel then for each swing-arm becomes a function of the shape of that gear. This is pretty cool, and very compact, and probably could be made pretty light-weight but it is a real pain for me to machine, and so experimentation with differing rear-height-based-ion-angle profiles would be time consuming and expensive.