barge floating in fresh water (ρ = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A = 650 m2 and height H = 2.0 m. When empty the bottom of the barge is located H0 = 0.55 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1.8 m below the surface. Find the mass of the coal in terms of the given data.

The gate shown in Figure 5 has a mass of 225 kg/m normal to the screen/page and is normal to the page.It is supported by a counterweight made of concrete (Specific gravity = 2.5). If θ = 30o, determine the minimum mass(in air) of the counterweight per unit length of the gate (into the page) required to keep the gate in equilibrium asshown. Neglect the weight of the arm required to hold the counterweight.

. A buoy is a solid cylinder 0.30 m in diameter and 1.20 m long. It is made of material with a specific weight of 7.90 kN/m³. If it floats upright, how much of its length is above the water. Answer: H = Water y = 9806.6 N/m³ H d = 0.3m L = 1.2 m

A cylindrical tank of natural gas is inserted into a tank that contains a fluid with a density of 1.35, as shown in the figure. The natural gas tank weighs 94N. Determine: a) h value b) the force necessary to hold the tank as shown in the figure.

what is the answer for number 3?

Please include diagrams in your solution,This is an FM question.

The plastic block shown below measures l.5 m x/.S m x(.7 m and has a specific gravity of 0.38. The concrete block B (density = 2400 kg/m) is suspended from the corner of the plastic block by means of a cable and the plastic block is thus floating in the lake (T = 15°C) in the orientation shown. Determine the volume of the concrete block (units of liters) noting that it does not rest on the bottom of the lake, Neglect the weight and volume of the cable in your analysis. %3D %3D 1.7 m 0.5m Water Cable B

The flow of water from a container is controlled by a 5-ft-wide L-shaped gate hinged at point A, as shown in the figure. If it is desired that the gate open when the height of the water is 10 ft, determine the weight W of the counterweight to achieve this. Take d= 5 ft and H = 16 ft. Give your answer in lb and without decimals.

A rock weighs 60 N in air and has a volume of 2.5 x103 m³. The weight of the rock when submerged in water is