Maximum velocity of circular motion

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Please continue. However, your argument among yourselves about 'how' I should consider this problem is taking up more valuable revision time than I can afford, with exams quickly approaching. While I do appreciate all offers of assistance, I am best to take advise about 'how' to solve this particular problem directly from my tutor, as he should know for sure exactly what is expected. This point is obviously going to continue to be a grey area for all of you (at least an area for argument). Not because you don't have the knowledge or understanding, but because you are not setting this particular exam. In most other questions I believe this would not be an issue and look forward to your continued advice. :)