Don't bother looking up the ABEC7 bearings. Not appropriate for a ball chucker. Ordinary deep-groove ball bearings can also be axially preloaded, best done with spring washers to avoid over tightening. Deep groove bearings (ordinary, everyday bearings) all have an axial load spec. you can use to make your design. There is a difference in same-size bearings. Some have a minimum complement of balls, some are nearly full. You'd have to ask your bearing supply house which is which.
Unless there is a compelling reason to use cantilever shafts, the ideal solution is to go back to bearings on each end.
Unless there is a compelling reason to use cantilever shafts, the ideal solution is to go back to bearings on each end.
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