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- The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.A loaded scow has draft of 1.6 m in sea water (sg = 1.03) when in upright position. The scow is 6 m wide and 12 m long and 2.4 m high. The center of gravity of the scow is 1.8 m above the bottom along the vertical axis of symmetry. Assume that the center of buoyancy is located half of the height of draft. What is the maximum single weight in kN that can be moved transversely from the center of the unloaded scow over the top edge without sinking the scow? (Considering rolling position)SOLVE THE FF, SHOW YOUR COMPLETE SOLUTION (ANSWERS MUST BE IN 3 DECIMAL PLACES). The vessel is 20m long, 10m wide and 5 m deep. It has a draft of 4, when floating in an upright position. The center of gravity of the scow is on the axis of the symmetry, Find: (a) The initial metacentric height (at initial position) (b) The metacentric height in tilted position when the vessel is at the point of submergence. (c) The distance between weight and the buoyancy in tilted position. (d) The moment created. (e) Classify the kind of moment. (f) The shifted distance of buoyancy.
- A loaded scow has a draft of 1.8 m in fresh water when erect. The scow is 6 m wide and 12 m long and 2.4 m high. The center of gravity of scow is 1.8 m above the bottom along the vertical axis of symmetry. What is the maximum single weight that can be moved transversely from the center of the scow and unloaded over the side without sinking the scow?1. What’s the difference between the center of gravity and the center of mass? 2. How is the specific weight of a body defined? 3. What does it mean when we say a body is homogeneous? 4. What are the theorems of Papus and Guldinus used for?A loaded scow has draft of 1.6 m in sea water (sg = 1.03) when in upright position. The scow is 6 m wide and 12 m long and 2.4 m high. The center of gravity of the scow is 1.8 m above the bottom along the vertical axis of symmetry. Assume that the center of buoyancy is located half of the height of draft. a. Determine the initial metacentric height, considering upright position. b. What is the maximum single weight in kN that can be moved transversely from the center of the unloaded scow over the top edge without sinking the scow? (Considering rolling position) c. Determine the metacentric height due to pitching if the scow is tilted until one end is just submerged in seawater.
- Derive the relation for metacentric height of a floating body.A crane barge 20 m long, 8 meters wide and 2 meters high loaded at its center with a road roller weighing 100 kg, floats on fresh water with a draft of 1.20 meters (draft is the submerged height of the barge) and has its center of gravity located along its vertical axis at a point 1.5 meters above its bottom. Determine the following: a.) Weight of the barge in kg. b.) Center of buoyancy and the metacentric height from the bottom of the barge. Is the barge stable?Full solution and free body diagram..
- Problem 5.1Given: Assume an air pressurized sphere made of steel has an outer diameter of 3 meters and a wall thickness of 3 cm. Assume a density of steel = 8000 kg/m3.Required:a) How much weight needs to be added to the sphere so that it is neutrally buoyant and completely submerged?b) Where should the weight be added?what is the buoyant force of a plastic cube with 5m side floating on water if half of the block is submergedDiagram of the problem, necessary formulas, clearance and numerical solution A sphere of radius 50 cm is immersed in mineral oil (ρ = 1,200 kg/m3), what is the thrust it receives?