Typical weight sets used for bodybuilding consist of disk-shaped weights with holes in the center that can slide onto 2.2-m-long barbells. A barbell is supported by racks located a fifth of its length from each end, as shown in the figure. What is the minimum mass m of the barbell if a bodybuilder is to slide a weight with M = 22 kg onto the end without the barbell tipping off the rack? Assume that the barbell is a uniform rod.

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