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- 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.SOLVE THE FF, SHOW YOUR COMPLETE SOLUTION (ANSWERS MUST BE IN 3 DECIMAL PLACES). The scow is 50 ft long, 30 ft wide and 8 ft deep. It has a draft of 5ft, when floating in an upright position. The center of gravity of the scow is on the axis of the symmetry 1ft above the water surface. Find: (a) The initial metacentric height (at initial position) (b) The metacentric height in tilted position when the angle of tilt is 10. (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 rectangular pontoon has a mass of 240 metric tons and a total length of 18 m. The centre of gravity is 0.3 m above the centre of cross-section and metacentric height is to be 1.2 m when the angle of heel 10 degree. The freeboard must not be less than 0.6 m when the pontoon is vertical. Find the breadth and the height of the pontoon if floating in fresh water.
- The scow is 40 ft long, 20 ft wide, and 8 ft deep. It has a draft of 5 ft when floating in an upright position. The center of gravity of the scow is on the axis of symmetry, 1 ft above the water surface. Compute (a)the initial metacentric height and (b) the righting moment in freshwater when the angle of the heel is 10° *NOTE: use Fb=W to solve for the weightA 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. Determine the metacentric height due to pitching if the scow is tilted until one end is just submerged in seawater.Evaluate the stability of the 3 m wide x 5 m deep (into the page) x 2 m tall block with a SG of 0.5 shown below in water by determining the displaced depth and the height of the metacenter.
- A solid mat has a diameter of 3.81 cm and a relative density of 0.089. It floats in water at a depth "h". Determine this height if: al the thrust due to the air is negligible b) the thrust of the air is not negligible PAIRE=1,225kg/m° (use 4 decimal places for your calculations).A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the tanks arranged with their length in the fore and aft direction. The specific gravity of the oil is 0.84, and the density of seawater inwhich the ship is floating is 1020 kgm-3. For a ship of this size, the metacentric height is at least 500 mm. What is the reduction of the metacentric height of the ship because of the oil that is contained in the tanks and how serious is this reduction? Please discuss further your conclusions.Pat builds a track for his model car out of solid wood (see picture) the track is 5.00 cm wide, 1.00 m high and 3.00 m long. The runway is cut so thet it forms a parabola with the equation y=(x-3)^2/9. Locate the horizontal coordinate of the center of gravity of this track.
- A uniform body of size 4 m long x 2 m wide and 1 m deep floats in water. Determine the metacentric height in meters.A loaded scow has a draft of 1.8 m in fresh water, when upright. The scow is 6 m wide, 12 m 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. (a) determine the initial metacentric height (b) What is the maximum single weight that can be moved transversely from the center of the unloaded scow over the side without sinking the scow. (c) If the maximum weight obtained in (6) is doubled, at what distance from the center will the scow be on the verge of submergence.A pontoon measuring 10 m (length) × 7.5 m (width) × 2.5 m (depth) weighing 800 kN floats in sea water. On its upper deck it carries a boiler 5 m in diameter and weighing 500 kN. The centre of gravity of each unit coincides with geometrical centre of the arrangement and lies in the same vertical line. Calculate the metacentric height. Take the specific weight of sea water = 10 kN/ 3 m' [Ans. 0.875 m]