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A 5ft tall 50kg gymnast is walking along a 7m long solid wooden beam supported but two legs on either side set 1m from the ends. If she is carrying a hollow metal cylinder of uniform density 2.7 g/cm3 and 1m length under her arm such that 20% of its length is in front of her center of mass how close to the edge can she walk before equilibrium is lost? The inner radius of the cylinder is 3cm and the outer radius is 7cm.
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