Buoyancy and floatation

A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. The spherical float is 15 cm in diameter. A weightless link AOB carries the float at B and a valve at A. The link is hinged at O, with ∠AOB = 135°. OA = 20 cm and OB = 50 cm. When flow is stopped, AO is vertical and the oil surface is 35 cm below the hinge. A force of 9.81 N is required on the valve to stop the flow. Determine the weight of the float.

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Float Valve Equilibrium Problem Problem Statement A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. […]

A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. The spherical float is 15 cm in diameter. A weightless link AOB carries the float at B and a valve at A. The link is hinged at O, with ∠AOB = 135°. OA = 20 cm and OB = 50 cm. When flow is stopped, AO is vertical and the oil surface is 35 cm below the hinge. A force of 9.81 N is required on the valve to stop the flow. Determine the weight of the float. Read More »

Find the density of a metallic body which floats at the interface of mercury of sp. gr. 13.6 and water such that 40% of its volume is sub-merged in mercury and 60% in water.

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Interface Buoyancy Problem Problem Statement Find the density of a metallic body which floats at the interface of mercury of

Find the density of a metallic body which floats at the interface of mercury of sp. gr. 13.6 and water such that 40% of its volume is sub-merged in mercury and 60% in water. Read More »

Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 2.5 m and of depth 1.5 m, when it floats horizontally in water. The density of wooden block is 650 kg/m³ and its length is 6.0 m.

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Floating Wooden Block Buoyancy Problem Problem Statement Find the volume of the water displaced and position of centre of buoyancy

Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 2.5 m and of depth 1.5 m, when it floats horizontally in water. The density of wooden block is 650 kg/m³ and its length is 6.0 m. Read More »

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the center of the plate is 3 m below the free surface of water. Find the position of the center of pressure also.

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Fluid Pressure on a Vertical Circular Plate Problem Statement Determine the total pressure on a circular plate of diameter 1.5

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the center of the plate is 3 m below the free surface of water. Find the position of the center of pressure also. Read More »

The wooden beam shown in the figure is 200mmx200mm and 4m long. It is hinged at A and remains in equilibrium at θ with the horizontal. Find the inclination θ. Sp. gr. of wood = 0.6.

The wooden beam shown in the figure is 200mmx200mm and 4m long. It is hinged at A and remains in equilibrium at θ with the horizontal. Find the inclination θ. Sp. gr. of wood = 0.6.

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Wooden Beam Equilibrium Analysis Problem Statement The wooden beam shown in the figure has a cross-sectional dimension of 200 mm

The wooden beam shown in the figure is 200mmx200mm and 4m long. It is hinged at A and remains in equilibrium at θ with the horizontal. Find the inclination θ. Sp. gr. of wood = 0.6. Read More »

A cone of base radius R and height H floats in water with the vertex downwards. If θ is the semi-vertex angle of the cone and h is the depth of immersion, show that for stable equilibrium 〖Sec〗^2 θ>H/h.

A cone of base radius R and height H floats in water with the vertex downwards. If θ is the semi-vertex angle of the cone and h is the depth of immersion, show that for stable equilibrium Sec^2 θ>H/h.

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Stability Analysis Problem Statement A cone of base radius R and height H floats in water with its vertex downwards.

A cone of base radius R and height H floats in water with the vertex downwards. If θ is the semi-vertex angle of the cone and h is the depth of immersion, show that for stable equilibrium Sec^2 θ>H/h. Read More »

If a solid conical buoy of height H and relative density S floats in water with axis vertical and apex upwards, show that the height above the water surface of the conical buoy is equal to H(1-S)^(1/3).

If a solid conical buoy of height H and relative density S floats in water with axis vertical and apex upwards, show that the height above the water surface of the conical buoy is equal to H(1-S)^(1/3).

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If a solid conical buoy of height H and relative density S floats in water with axis vertical and apex

If a solid conical buoy of height H and relative density S floats in water with axis vertical and apex upwards, show that the height above the water surface of the conical buoy is equal to H(1-S)^(1/3). Read More »

Consider a homogeneous right circular cylinder of length L, radius R, and specific gravity S, floating in water (S = 1) with its axis vertical. Show that the body is stable is  .

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Consider a homogeneous right circular cylinder of length L, radius R, and specific gravity S, floating in water (S =

Consider a homogeneous right circular cylinder of length L, radius R, and specific gravity S, floating in water (S = 1) with its axis vertical. Show that the body is stable is  . Read More »

A plate of metal 1.1mx1.1mx2mm is to be lifted up with a velocity of 0.1m/s through an infinitely extending gap 20mm wide containing an oil of sp. gr. 0.9 and viscosity 2.1NS/m2. Find the force required to lift the plate assuming the plate to remain midway in the gap. Assume the weight of the plate to be 30N.

A plate of metal 1.1mx1.1mx2mm is to be lifted up with a velocity of 0.1m/s through an infinitely extending gap 20mm wide containing an oil of sp. gr. 0.9 and viscosity 2.1NS/m2. Find the force required to lift the plate assuming the plate to remain midway in the gap. Assume the weight of the plate to be 30N.

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A plate of metal 1.1mx1.1mx2mm is to be lifted up with a velocity of 0.1m/s through an infinitely extending gap

A plate of metal 1.1mx1.1mx2mm is to be lifted up with a velocity of 0.1m/s through an infinitely extending gap 20mm wide containing an oil of sp. gr. 0.9 and viscosity 2.1NS/m2. Find the force required to lift the plate assuming the plate to remain midway in the gap. Assume the weight of the plate to be 30N. Read More »

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