Meta centre always lies below the centre of gravity

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A block of material of specific gravity 0.45 floats in water. Determine the meta-centric height of the block if its size is 3 m * 2 m* 0.8 m.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A rectangular pontoon is 5 m long, 3 m wide and 1.40 m high. The depth of immersion of the pontoon is 0.60 m in seawater. If the centre of gravity is 0.7 m above the bottom of the pontoon, determine the metacentric height. The density for seawater = 1045 kg/m^3.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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In case of spherically shaped bodies of uniform mass distribution and completely immersed in fluid and floating, the centre of buoyancy coincides with centre of gravity.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A solid cylinder of diameter 4.5 has a height of 2.5 metres. Find the meta-centric height of the cylinder when it is floating in water with its axis vertical. The sp. gr. of the cylinder=0.45.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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For a completely immersed body, the metacentric height is always zero.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The metacentric height is affected by the change in density.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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Proper explanation for metacentre is:

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The principle of floatation of bodies is based on the premise of

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A uniform body of size 4 m long * 2.5 m wide * 1.5 m deep floats in water. What is the weight of the body if depth of immersion is 1 m ?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The floating body is said to be in unstable equilibrium if the metacentre is below the centre of gravity.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.45 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The floating body is said to be in neutraL equilibrium if the metacentre is above the centre of gravity.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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Find the position of centre of buoyancy for a wooden block of width 3.5 m and depth 1 m, when it floats horizontally in water. The density of wooden block id 850 kg/m3 and its length 7.0 m.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A student wants to find the absolute pressure of water at a point below the surface of water. He has a barometer and a manometer pressure gauge. The barometer reads 1.3152 bar where as the manometer pressure gauge reads 0.3152 bar. What is the absolute pressure? (Assume that pressure at one end of the manometer is atmospheric.)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The below figure shows an inclined U-tube mercury manometer. The vertical end of the tube is exposed to a gas of gauge pressure 50 kPa and the inclined end is exposed to the atmosphere. The inclined part of the tube is at an angle of 30^o with the horizontal. Find the value of h (in cm) (take g = 9.8 m/s^2, ρmercury = 13600 kg/m^3)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A cylinder(uniform density distribution) of radius 3.0 m has a height of 9.0 m. The specific gravity of the material of cylinder 0.85 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A solid cylinder of 15 cm diameter and 40 cm long, consists of two parts made of different materials. The first part at the base is 1.5 cm long and of specific gravity=6.5. The other part of the cylinder is made of the material having specific gravity 0.75. State, if the it can float vertically in water.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A stone weighs 650 N in air and 275 N in water. Compute its specific gravity.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity .9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine the total pressure.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The right limb of a simple U-tube manometer containing mercury is open to the atmosphere while the lift limb is connected to a pipe in which a fluid of specific gravity 0.85 is flowing. The centre of the pipe is 14 cm below the level of mercury in the right limb.Evaluate the pressure of fluid flowing in the pipe if the difference of mercury level in the two limbs is 22 cm.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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Calculate the moment of inertia of an object having time period = 14 sec, mass of 10 Kg and the centre of gravity lies at a point 20 cm below the point of suspension.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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Calculate the frequency of vibration in Hz of an object having mass moment of inertia = 100 Kg-m^2, mass of 10 Kg and the centre of gravity lies at a point 20 cm below the point of suspension.

asked Sep 24, 2022 in Machine Kinematics by Leo (38.0k points)

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Calculate the time period of an object having mass moment of inertia = 100 Kg-m^2, mass of 10 Kg and the centre of gravity lies at a point 20 cm below the point of suspension.

asked Sep 23, 2022 in Machine Kinematics by Leo (38.0k points)

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Calculate the moment of inertia of an object having time period = 14 sec, mass moment of inertia= 100 Kg-m^2 and the centre of gravity lies at a point 20 cm below the point of suspension.

asked Sep 23, 2022 in Machine Kinematics by Leo (38.0k points)

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What happens to the buoyant force acting on the airship as it rises in the air?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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