2:36| 11local_m...0408289GateLiquid3 m-3 ft-FIGURE 4.01 m60FIGURE 1.0TASK 2: Solve the value of buoyancy using Archimedes' PrincipleProblem SolvingInstructions; Analyze and solve the following problems. Enclose your final an-swer in a box.1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra-tio of x and y for this condition.2. An iceberg in the ocean floats with one seventh of its volume above the surface. Whatis its specific gravity relative to the ocean water? What portion of its volume wouldbe above the surface if ice were floating in pure water? sg=10.10KN/m^33. A rectangular 9m wide, 15m long, and 3.6m high has a draft in sea water of 2.4m. Itscenter of gravity 2.5m above the bottom of the scow. Determine the initial metacen-tric height and the righting moment or overturning moment when the scow tilts untilone side is just at the point of submergence.4. Water backs up behind a concrete dam as shown infigure 1. Leakage under the foun-dation gives a pressure distribution under the dam if the water depth, h, is too great,the dam will topple over its toe. For the dimensions given, determine the factor ofsafety against overturning if L=120ft and h=50ft. Base your analysis on a unit lengthof the dam. The specific weight of the concrete is 150 lb/ft^3.5. For the gravity dam shown in figure 2, determine the factor of safety against slidingand overturning if µ=0.45.FIGURE 1.080fth10ft30mFIGURE 2.040m70m40m20m 20m60m66MODULE 4GET IT DONE!RELATIVE EQUILIBRIUMES 309 COURSE:MEGIANICS C EFLIDG Read and study the self-paced learning material entitled "SPLM #3 HydrostaticForce" attached to this module. The same copy is also available in the LearningManagement System or Facebook Page: ES309 (Mechanics of Fluids)TASK 1: Solve the hydrostatic force acting on plane and curved surfaces.Problem SolvingInstructions: Analyze and solve the following problems. Enclose your final an-swer in a box.1. A gate having the cross section shown in Fig.1 closes an opening 5 ft wide and 4 ft highin a water reservoir. The gate weighs 500 lb and its center of gravity is 1 ft to the left ofAC and 2 ft above BC. Determine the horizontal reaction that is developed on the gate atC.2. A structure is attached to the ocean floor as shown in Fig.2. A 2-m-diameter hatch is lo-cated in an inclined wall and hinged on one edge. Determine the minimum air pressure,p1, within the container that will open the hatch. Neglect the weight of the hatch andfriction in the hinge.3. An open tank has a vertical partition and on one side contains gasoline with a density of700kg/m^3 at a depth of 4 m, as shown in Fig. 3. A rectangular gate that is 4 m high and2 m wide and hinged at one end is located in the partition. Water is slowly added to theempty side of the tank. At what depth, h, will the gate start to open?4. A plug in the bottom of a pressurized tank is conical in shape, as shown in Fig. 4. The airpressure is 40 kPa and the liquid in the tank has a specific weight of 27KN/m^3. Deter-mine the magnitude, direction, and line of action of the force exerted on the curved sur-face of the cone within the tank due to the 40-kPa pressure and the liquid.5. A closed tank is filled with water and has a 4-ft-diameter hemispherical dome as shownin Fig. 5. A U-tube manometer is connected to the tank. Determine the vertical force ofthe water on the dome if the differential manometer reading is 7 ft and the air pressureat the upper end of the manometer is 12.6 psi.v Free surfaceSeawaterPartition10 m30StopHatch L HingeVAir pressure, P4 mWaterGasolineFIGURE 2.0HingeFI GURE 3.0Air4-ft diameter20 psi5't2'ftWater2'ftGagefluidWaterFI GURE 5.0(SG = 3.0)8 ft40 kPaHingeAir4 ftGateLiquid3 m-3 ft-FIGURE 4.01 m60FIGURE 1.0

Question

2:36| 11local_m...0408289GateLiquid3 m-3 ft-FIGURE 4.01 m60FIGURE 1.0TASK 2: Solve the value of buoyancy using Archimedes' PrincipleProblem SolvingInstructions; Analyze and solve the following problems. Enclose your final an-swer in a box.1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra-tio of x and y for this condition.2. An iceberg in the ocean floats with one seventh of its volume above the surface. Whatis its specific gravity relative to the ocean water? What portion of its volume wouldbe above the surface if ice were floating in pure water? sg=10.10KN/m^33. A rectangular 9m wide, 15m long, and 3.6m high has a draft in sea water of 2.4m. Itscenter of gravity 2.5m above the bottom of the scow. Determine the initial metacen-tric height and the righting moment or overturning moment when the scow tilts untilone side is just at the point of submergence.4. Water backs up behind a concrete dam as shown infigure 1. Leakage under the foun-dation gives a pressure distribution under the dam if the water depth, h, is too great,the dam will topple over its toe. For the dimensions given, determine the factor ofsafety against overturning if L=120ft and h=50ft. Base your analysis on a unit lengthof the dam. The specific weight of the concrete is 150 lb/ft^3.5. For the gravity dam shown in figure 2, determine the factor of safety against slidingand overturning if µ=0.45.FIGURE 1.080fth10ft30mFIGURE 2.040m70m40m20m 20m60m66MODULE 4GET IT DONE!RELATIVE EQUILIBRIUMES 309 COURSE:MEGIANICS C EFLIDG Read and study the self-paced learning material entitled &#34;SPLM #3 HydrostaticForce&#34; attached to this module. The same copy is also available in the LearningManagement System or Facebook Page: ES309 (Mechanics of Fluids)TASK 1: Solve the hydrostatic force acting on plane and curved surfaces.Problem SolvingInstructions: Analyze and solve the following problems. Enclose your final an-swer in a box.1. A gate having the cross section shown in Fig.1 closes an opening 5 ft wide and 4 ft highin a water reservoir. The gate weighs 500 lb and its center of gravity is 1 ft to the left ofAC and 2 ft above BC. Determine the horizontal reaction that is developed on the gate atC.2. A structure is attached to the ocean floor as shown in Fig.2. A 2-m-diameter hatch is lo-cated in an inclined wall and hinged on one edge. Determine the minimum air pressure,p1, within the container that will open the hatch. Neglect the weight of the hatch andfriction in the hinge.3. An open tank has a vertical partition and on one side contains gasoline with a density of700kg/m^3 at a depth of 4 m, as shown in Fig. 3. A rectangular gate that is 4 m high and2 m wide and hinged at one end is located in the partition. Water is slowly added to theempty side of the tank. At what depth, h, will the gate start to open?4. A plug in the bottom of a pressurized tank is conical in shape, as shown in Fig. 4. The airpressure is 40 kPa and the liquid in the tank has a specific weight of 27KN/m^3. Deter-mine the magnitude, direction, and line of action of the force exerted on the curved sur-face of the cone within the tank due to the 40-kPa pressure and the liquid.5. A closed tank is filled with water and has a 4-ft-diameter hemispherical dome as shownin Fig. 5. A U-tube manometer is connected to the tank. Determine the vertical force ofthe water on the dome if the differential manometer reading is 7 ft and the air pressureat the upper end of the manometer is 12.6 psi.v Free surfaceSeawaterPartition10 m30StopHatch L HingeVAir pressure, P4 mWaterGasolineFIGURE 2.0HingeFI GURE 3.0Air4-ft diameter20 psi5't2'ftWater2'ftGagefluidWaterFI GURE 5.0(SG = 3.0)8 ft40 kPaHingeAir4 ftGateLiquid3 m-3 ft-FIGURE 4.01 m60FIGURE 1.0

Accepted Answer

As per the bartleby policy we can only solve the first question from the multiple questions.
 
Given…

1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra- tio of x and y for this condition.