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Could you elaborate a little on what makes this problem "poorly specified"?
I have re-read it several time and still don't see it (unless it's that the
acceleration vector is not specified to be in the plane of rotation).
Though "intrinsically interesting" problems are probably best, I find that
some students (particularly the "better" ones) appreciate any problem that
helps them solidify their understanding of some concept, even if the problem
was obviously contrived solely for that purpose.