Q. 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.

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Q. A wooden cylinder of sp.gr. = 0.6 and circular in cross-section is required to float in oil(sp.gr. = 0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, where L is the height of cylinder and D is its diameter.

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Q. 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.

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Q. If the magnitude of dimension of a rectangular wooden block is length>breadth>height, then for it to float on the water, it should be immersed in what manner?

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Q. When body is completely or partially immersed in a fluid, how much its weight be distributed for it to be in stable equilibrium.

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Q. In unstable equilibrium what is the relation between forces?

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

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

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Q. In stable equilibrium for completely submerged bodies what is the relation between forces?

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Q. 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° with the horizontal. Find the value of h (in cm) (take g = 9.8 m/s², ρmercury = 13600 kg/m³)

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Q. In the manometer given above, 2 immiscible fluids mercury (ρ = 13600 kg/m³) and water (ρ = 1000 kg/m³) are used as manometric fluids. The water end is exposed to atmosphere (100 kPa) and the mercury end is exposed to a gas. At this position, the interface between the fluids is at the bottom most point of the manometer. Ignore the width of the manometer tube and the radius of curvature. The value of h is found to be 9.45 m. The height of the mercury column is given to be 75 cm. Find the gauge pressure of the gas. (g = 9.8 m/s²)

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