I modeled a plastic hinge consisting of two identical plastic parts and added an angle maximum constraint to limit the movement of one of the hinge´s "wing" (or whatever is the correct technical word for this). However, for the rotating movement to work properly, I need to fix one of the wings, otherwise grabbing one part produces the whole assembly to move other than one wing to rotate.

So far so good. However I would like to go one step further and create two configurations, one of them where the "left" wing is fixed and another one where the "right" wing is fixed. Is that (configuring which part of an assembly is fixed) possible ?