A 0.5-m diameter helium (Density of He = 0.18 kg/m3) balloon is attached by a rope to the bottom of a 10-m deep freshwater lake (Fig. 1). Given that the rope can sustain a maximum tensile force of 300 N, would it be able to secure the balloon? Please clearly illustrate your free-body diagram.

Q: Example 3. Hydrostatic Force Acting on the Door of a Submeraed Car • A heavy car plunges into a lake…

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Q: In the Figure below, the cover gate AB closesa circular opening 80 cm in diameter. The gate is held…

A: Given data: Diameter of opening, d = 80 cm. Mass of load, m = 200 kg. The specific weight of water,…

Q: Q2/Gate AB in the Figure below is a homogeneous mass of 180 kg, 1.2 m wide into the paper, hinged at…

A: This problem is related to fluid mechanics. Fluid mechanics is the subject of mechanical engineering…

Q: 1,2 m wide AB gate is articulated from point A shown in the figure. The heights of the fluids are…

A: Given Data, w = Width of the gate AB = 1.2 m h1 = Height of water level = 6 m h2 = Height of oil…

Q: A piece of steel wire, which is 3 m long, and of 1 mm diameter hangs vertically from the ceiling. A…

A: According to Archimedes' Principle or Principle of Buoyancy, when a body is immersed in a fluid or…

Q: Problem 3 A gate is 1.5m in wi dth and hinged at point A. Another point on the gate, B. is resting…

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Q: The gate is 160 cm wide, is hinged at point B, and rests against a smooth wall at point A. what is…

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Q: 6. For the gate shown, a = 45°C, yı = 1 m, and y2 = 3 m. Will the gate fall or stay in position…

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Q: Q5/ The 20-ft-long gate of Fig. 15 2 quarter circle 6 ft and is hinged at H. Determine the…

A: Data given- r = 6 ft  L = 20 ft

Q: Consider a flatboat hull which carries cargo down a river. When fully loaded the craft weight 150…

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Q: The Hoover Dam, in Arizona, encloses Lake Mead,which contains 10 trillion gallons of water. The dam…

A: Consider the diagram shown below for the given dam. Given data:

Q: from old wreacks is to attach an inflatable balloon filed with air.  Assume that the cannon is a…

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Q: )A rectangular, iully enclosed tank 2.4m long, 1.4m wide and 0.8m high is constructed of sheet metal…

A: Part (a) Length = 2.4 m wide = 1.4 m Height = 0.8 m Specific weight of body = 443.6 kg-f Density of…

Q: al cm and a thickness of 0.1 mm floats on a fluidic surface and bends the surface 3. A thin metal…

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Q: A sliding gate of height 1.4m and width 2.8 lies in vertical plane that weighs 25kN. Determine the…

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Q: A block of steel (s.g. 7.85) will "float" at a mercury-water interface as shown in the figure. What…

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Q: A rectangular slab of ice floats on water with a large portion submerged beneath the water surface.…

A: Given Data: The volume of the slab is, V=20 m3. The top surface area is, A=14 m2. The density of…

Q: A block of steel ( s.g. = 7.85 ) will "float" at a mercury-water interface as shown in the figure.…

A:

Q: The uniform 5-m-long wooden rod in the figure is tied to the bottom by a string. The diameter of the…

A: Data given -  Length of the rod = 4+1 = 5 m  Water at 20° C  Specific weight of water γ =9790 N/m2…

Q: 0.22wm CYLDER Lm CYLINDER ANCHOR

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Q: 2.) A column arranged vertically holds a composite fluid of 46 cm of mercury (SG = 13.5), 66 cm of…

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Q: A column arranged vertically holds a composite fluid of 18 in of mercury (SG = 13.6), 26 in of water…

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Q: A body floats half and submerged in a certain liquid (s.g. = 1.25) and has a weight of 500 kN.…

A: The weight of the body will act downward and the buoyant force will act upward.

Q: The surface tension force, σ, of water in air is approximately 0.00518 lb/ft. If the atmospheric…

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Q: A spar buoy is a buoyant rod weighted to fl oat and protrudevertically, as in Fig.  It can be used…

A: According to Principal of flotation for a body floating in equilibrium: " Weight of the body…

Q: A cylinder weighing 445 N and having a diameter of 1 m floats in salt water (sp.gr. 1.03)…

A: Given: Weight of the cylinder is 445 N. Diameter of the cylinder is 1 m. Specific gravity of the…

Q: A concrete cube 25 cm on each side is to be held in equilibrium under water by attaching a…

A: Concrete cube side = 25cm = 0.25m  Specific weight Yconcreate= 24 Kn/m2  Yfoam= 0.5 Kn/m2 Ywater =…

Q: A block of weight mg = 45 N has part of its volume submerged in a beaker of water. The block is…

A: Given data  weight of block = 45 N  when block is 80% submerged then tension in string = 5 N…

Q: 1.5 m H F A 4.2m water 30°

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Q: (a) A rectangular, fully enclosed tank 2.4m long, 1.4m wide and 0.8m high is constructed of sheet…

A: GivenTotal weight of tank=Area×443.6kg-fWT=22.4×1.4+2.4×0.8+1.4×0.8×443.6WT=5678.08N

Q: A rectangular watertight box (of treasure) is 660mm long. 520mm wide and 310mm deep. It weighs 323N.…

A: Given Length L= 660 mmW=520mmd=310 mmWeight Wt=323 N

Q: A 6-m-high, 5-m-wide rectangular plate blocks the end of a 5-m-deep freshwater channel, as shown in…

A: We have to  Determine the force exerted on the plate by the ridge.

Q: 3. For the gate shown, α = 45°, Y₁ = 1 m, and y₂ = 4 m. Will the gate fall or stay in position under…

A: Please find the solution below

Q: In the Figure below, the cover gate AB closes a circular opening 80 cm in diameter. The gate is held…

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Q: 4. A droplet of water at 70F having a diameter of 0.03 in. is in contact with air. If the internal…

A: Given d=0.03in=0.000762mThe pressure in the droplet is 0.09psiwe know that 1 psi=6894.75N/m2so…

Q: A block of steel (s.g. = 7.85 ) will "float" at a mercury-water interface as shown in the figure.…

A:

Q: + F В The 2.2m-long lightweight gate of the figure above is a semi-circle and is hinged at A.…

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Q: A block of weight mg = 45 N has part of its volume submerged in a beaker of water. The block is…

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Q: Problem 3 Wall A gate is 1.5m in width and hinged at point A. Another point on the gate, B, is…

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Q: Q3: a triangle gate AB is hinged at A and weighs 1500 N. the hydrostatic force is (required at point…

A: Given-Data:-Weight=1500NFor water=9790N/m3Oil.SG=0.83To-Find:-P

Q: Provide the complete formula and solution and free body diagram. The density of ice is 917 kg/m^3,…

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Q: A tank of water (SG = 1.0) has a gate in its vertical wall 5 mhigh and 3 m wide. The top edge of the…

A: Here b=width of gate=3mh=height of gate=5 mSo the area of the gate isA=b×hA=3×5A=15 m2Centroid is…

Q: The cap at point B on the 5-cm-diameter tube in Fig.will be dislodged when the hydrostatic force on…

A: Given data: The diameter of the smaller tube, d = 5 cm. Force acting to dislodged the cap at point…

Q: Problem 3 A gate is 1.5m in width and hinged at point A. Another point on the gate. B. is resting…

A: GIVEN :- Width of the gate : b=1.5 m specific gravity of sea water : sg=1.03    SOLUTION :-…

Q: A hallow cylinder 1 m in diameter and 2m high weighs 3825 N. How many kN of lead weighing 110 kN/m^3…

A: Given that, Consider the cylinder and lead system as shown below,   Calculate the buoyancy force…

Q: a1 A spherical buoy has a diameter of 1.5 m, weighs 8.50 kN, and is anchored to the sea floor with a…

A: We are suppose to solve only one question. Please post other question as a separate question.

Q: How can a ship made of steel (psteel = 7.9 g/cm³) float in water? %3D

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Q: 3. For the gate shown, a = 45°, Y₁ = 1 m, and y₂ = 4 m. Will the gate fall or stay in position under…

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.