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A man is walking on a plank that is placed horizontally across two supports so...

A man is walking on a plank that is placed horizontally across two supports so that equal lengths project at each end. The plank is 5 meters long and has a mass of 30 kg. What is the greatest distance from each end at which the supports can be placed so that a man with a mass of 80 kg can stand anywhere on the plank without it falling off the support?
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