Question: The water in a basin is held back by a gate with a length of 12 m and a depth of 3 m. A mass




The water in a basin is held back by a gate with a length of 12 m and a depth of 3 m. A mass is suspended from the end of the gate and is completely submerged in the basin's water as shown in Figure 2. The water level is 5 m and the system is in equilibrium. The suspended mass is a steel cube with side lengths of C, which is unknown. Neglect the mass of the cable. Steel has a density of 7800 kg/m?. a) Express the tension 1" in the cable as a function of the cube's side length C. b) Calculate the hydrostatic force R exerted on the gate. c) Determine the side length C' of the cube for the system to remain in equilibrium.
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