Whew! It's great to have NMGolfer contributing his insights. It gives one a different perspective on the issue.
Is this the same nmgolfer who solemnly announced his retirement from this forum just a few days ago and who before leaving so lovingly aspersed me with such sweet compliments, which I have, for easy reference, shown below?Mandrin...
Not fair. By introducing a torque... you've changed the problem statement. Also in your equation 1 you should have omega squared not alpha squared. Yes the rod (hub and axle actually) experience a real centrifugal force but the bead, not being constrained to rotate about "O", does not. Yes... for an accelerating rod the bead's trajectory would look something like you've depicted.
Why can't you guys just exchange different opinions on the correct mathematical exposition of the relese phenomenon without indulging in unmannerly inflammatory rhetoric?
Stop editing your posts to sound more civil than you actually are.