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2. (25 points) Your friends have been separated from you. They need to dive to the bottom of a pool to retrieve the next

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2. (25 points) Your friends have been separated from you. They need to dive to the bottom of a pool to retrieve the next key without being crushed, but you can't spill any water! You have to determine what spring to use to keep the gate closed when the water level rises to A. A quarter-circular gate of radius 3 m and negligible weight is hinged at point A. The gate controls the flow of water over the ledge at point B, where the gate is pressed by a spring. Determine the minimum spring force required to keep the gate closed. The width of the gate (normal to the paper) is 4m. Do: Follow the front-page instructions & show all necessary diagrams Do not: Derive equations R B

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