Mechanical Properties of Fluids

Physics Part II

Physics

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Wooden plank weighing 8kg floats in water with two-fifth of its volume floating in water. Find the maximum weight that can be placed over the plank so that it may float completely submerged.

Let V be the volume of the plank.

Given that two-fifth volume of plank is submerged in water.

Therefore by law of floatation the weight of wooden plank is equal to the weight of volume of water.

That is,

Weight of of water = 8 kg

Weight of V volume of water=20kg.

Therefore when wooden plank is fully submerged in water, it displaces 20 kg of water.

Hence a 20 kg weight can be made to float over the water.

Thus additional weight that can be put over the plank is (20 – 8)kg = 12 kg.

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What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.

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What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids.

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Do intermolecular or inter-atomic forces follow inverse square law?

No. Intermolecular and inter-atomic forces do not obey the inverse square law.

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What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.

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Why solids have definite shape while liquids do not have definite shape?

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.

Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container.

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