2. A gate width of 0.11 m is in the side of a dam wall angled at 35∘ to the vertical as depicted in Figure Q2. The gate
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2. A gate width of 0.11 m is in the side of a dam wall angled at 35∘ to the vertical as depicted in Figure Q2. The gate
2. A gate width of 0.11 m is in the side of a dam wall angled at 35∘ to the vertical as depicted in Figure Q2. The gate is 3 m long and is hinged at the top. A cable is attached to the bottom of the gate and connected to a spherical float of mass 6 kg. The cable length is such that when there are 49 m of water above the hinge, the cable is taut, and exactly half the float is submerged below the water. (a) Why the dam wall usually curved or angled? (2 marks) (b) Calculate the magnitude and line of action of the horizontal and vertical forces acting on the gate due to hydrostatic pressure. (10 marks) (c) If the gate is on the point of opening, solve the tension in the cable. (4 marks) (d) What is the diameter of the float? (4 marks)
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