With the aid of neat sketches explain briefly the three(3) possible conditions of equilibrium in analysing the stability of floating bodies.
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Q: A cone (240 mm diameter, 200 mm height & S=0.7) floats with its vertex downwards in a fluid. Is this…
A: Given data:- diameter of cone, D=240mm ⇒R=120mm height of cone, H=200mm specific gravity of cone,…
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Q: Q#1: What are the conditions of equilibrium for floating and submerged bodies
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Q: A float sensor for the determination of the level of water in a vessel has a cylindrical float of…
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Q: A closed cylindrical container of length 0.6 m and diameter 0.3 m is full of oil of sg - 0.85. It is…
A: Given: The length of the closed cylinder is, l=0.6 m. The radius of the closed cylinder is,…
Q: Consider a homogeneous right circular cylinder of length L, radius R, and specific gravity SG,…
A: Given: The right circular cylinder of length L, radius R, and specific gravity SG, floating in the…
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A: Given data: Length of rod = L Density of rod = ρ Depth of…
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A: Let r be the radius of the surface ∑Fz=0γwπ3(R2h-r2z)-0.99γwπ3R2hwith zh=rRzh=(0.01)1/3=0.2154
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Q: Q2) A cylindrical body of length 0.9 m and of sp.gr = 0.7 is floating in water as shown in fig.2.…
A: Write the given data. L=0.9 mSG=0.7MG=-0.03 m In this problem, the distance between meta-centre M to…
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- A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A? The mass densities are 24000kg/m3 for concrete and 1030kg/m3 for seawater.A float sensor for the determination of the level of water in a vessel has a cylindrical float of mass 2.0 kg, cross-sectional area 20 cm2 and a length of 1.5 m. It floats vertically in the water and presses upwards against a beam attached to its upward end. What will be the minimum and maximum upthrust forces exerted by the float on the beam? Suggest a means by which the deformation of the beam under the action of the upthrust force could be monitored.An aluminum block (SG-2.5) has a dimension of 0.1 m x 0.1 m x h meters. It is floating in mercury (SG-13.6) and the submerged height of the block is 0.90 m. Determine the weight (kN) of the block.
- Solve Correctly A cylinder object is suspended in a liquid at a distance of 38cm below the surface. The diameter of the object is 140cm and the density of the object is 960 kg/m3. The density ratio is 1. Determine the height of the cylinder, if the buoyant force is 7N.The figure below shows a block of wood with total height H, submerged height h and square base with side b = 0.41 m, floating in a tank with water. a) Knowing that the wood density is d = 0.75, calculate: a) the ratio between the submerged height h and the total height of block H; b) the metacentric height, in meters, for the block to float, in the indicated configuration, with indifferent balance (critical); c) the value of H for the same situation as the previous item (indicate the unit).A hollow container in the shape of a truncated cone floatsin oil (d.r.=0.9), with half of its total heightsubmerged, when attached to a block of weight 150Kg. as shown in the figure. Determine:A) The weight of the prism in KgB) If the rope that joins the cone to the block is cutof 150 kg, will the container float or sink? Demonstrate and explain. Don't take stability into accountof the container
- A float sensor for the determination of the level of water in a vessel has a cylindrical float of mass 2.0 kg, cross-sectional area 20 cm= and a length of 1 5 in. It floats vertically in the water and presses upwards against a beam attached to its upward end. What will be the minimum and maximum up thrust forces exerted by the float on the beam? Suggest a means by which the deformation of the beam under the action of the force could be monitoredDifferential equations A cylinder of 10 cm radius and 15 cm height has a weight of 19.6 N, if the cylinder is vertically immersed en a fluid with a density of 2.5g/cm3 a. Determine if the cylinder floats and if this is the case which serıa the length of the cylinder that is submerged in water. b. If the cylinder is pulled 5 cm upwards from its equilibrium position and released, determine the motion equation for the cylinder. Pls dont skip stepsDiscuss the stability of (a) a submerged and (b) a floating body whose center of gravity is above the center of buoyancy.
- It is estimated that 90 percent of an iceberg’s volume is below the surface, while only 10 percent is visible above the surface. For seawater with a density of 1025 kg/m3, estimate the density of the icebergThe uniform rod in Fig. is hinged at point B on thewaterline and is in static equilibrium as shown when 2 kgof lead (SG = 11.4) are attached to its end. What is thespecifi c gravity of the rod material? What is peculiar aboutthe rest angle θ = 30 ° ?A spherical neutrophil 16µm in diameter is resting as shown in the attached photo. The pressure difference between the inside and outside of the cell is 7.5Pa. a) Draw free body diagrams of the whole cell and one hemisphere of the cell. b) Calculate cortical tension in the cell. In a micropipette aspiration experiment, a suction pressure of 52.5 Pa was used to aspirate the neutrophil membrane. c) Draw free body diagrams of the whole cell under micropipette aspiration and the portion of the cell in the micropipette. What is the diameter of the micropipette tip used to make this hemispherical projection? Next, the micropipette aspiration was stopped, and the cell was treated with Cytochalasin D, an inhibitor of actin polymerization, causing the cortical tension to decrease by half. d) Assuming the pressures inside and outside the cell have not changed, what is the new cell radius? e) If the same micropipette was used to aspirate the cell, what would be the new suction pressure?