2.8.7. The floating rod shown in Figure P2.8.7 weighs 150 Ibs, and the water's surface is 7 ft above the hinge. Calculate the angle 0 assuming a uniform weight and buoyancy distribution. 6"x 6"x 12' 7' Hinge Figure P2.8.7

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Rectangle Gate AB has length L and width b into the paper is hinged at B and has negligible weight. The liquid level, water, h does not reach the top of the gate for an angle theta. Find an equation for the force P, required to keep the gate in equilibrium. Solve for width, b. In the figure. (hint: draw a free-body diagram for the left and right side of the gate separately)

Consider the tank shown (Figure 2), where the specific weight of the water is yw = 9800 N/m³ and the specific weight of molasses is ym = 1.4x104 N/m³. What is the pressure at the bottom of the tank if h1 = 3.4 m and h2 = 3.7 m. Water h2 Molasses

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SS 3.17 The figure shows a sectional view through a submarine. Calculate the depth of submergence, y. Assume the specific weight of seawater is 10.0 kN/m³. Atmos. pressure 74 mm Hg 60 Conventional baromete 200 mml 840 mm Hg 200 mm- Hg Р3.17

2.8.3. A solid brass sphere of 30-cm diameter is used to hold a cylindrical buoy in place (Figure P2.8.3) in seawater (sp. gr. = 1.03). The buoy (sp. gr. = 0.45) has a height of 2 m and is tied to the sphere at one end. What rise in tide, h, will be required to lift the sphere off the bottom? 50 сm h 30 сm sp. gr. = 13.5 Figure P2.8.3

QUESTION 3: An inclined semicircular-shaped (diameter = 7 m) flat plate is entirely submerged in coconut oil (SG = 0.903). The angle between the free surface and the plane of the surface is 47°. Given the hydrostatic P (Pgauge) acting on center of pressure was 73.2 kPa. Assume the both sides of the plate are subjected to Patm. Calculate the: -Line of action F=PA Center of pressure Centroid of area (a) Density of coconut oil. (b) Vertical height from free surface to center of pressure. (c) Inclined distance at centroid from free surface. (d) The resultant hydrostatic force acting on the flat plate.

An underwater pipeline must be laid 40 meters deep. The density of sea water is 1 025 kg/m³. The pipe has a mass of 40 kg per meter and an outside diameter of 300 mm. The pipe must be anchored every 5 m to the bottom of the sea. (a) What will the vertical force be on each anchor if the 4.3 pipe is empty. (b) What external pressure must the pipe be able to withstand if it is not to be crushed. [1 592 N, 402,2 kPa]