Joint Origin challenge with a parametrically tilted component
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I'm making a rigid joint to place a disc tilted on an angle centered on a rod. The disc will tilt to match the face of a derived Shaft Collar component whose angle can change. There is no way to select a joint origin at the correct point because the point is unknown UNTIL it is tilted in place. I tried manually creating a joint origin with a sketch, but the projection links from the rod are not correct projections after the disc is tilted. (No error shows up but you can see they are in the wrong place despite showing as valid projections.)
Basically I need to make the Joint Origin after the joint, but I obviously can't make the joint until I have the origin.
I tried a sliding joint instead, with joint at center instead of face, with an offset of half the disc thickness, that fixes the centering issue, but still didn't work either because the offset is only actually half if the tilt is zero degrees, it needs to know the tilt first. Same Catch 22.
I could do some extra math steps I suppose with pythagorean calcs based on a driven dimension from the derived component face angle, but is there an elegant, better way to do this?
File: https://a360.co/462eKXN
Thank you!