Relative Equilibrium in Fluid Dynamics

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10 Questions

What is the primary condition for a liquid to be in relative equilibrium during rotation?

The net external torque acting on the liquid is zero

What is the purpose of ensuring the vessel containing the liquid remains stable and securely anchored?

To prevent any movement or instability in the vessel

What is the result of the principle of conservation of angular momentum in a rotating vessel?

The total angular momentum of the system remains constant

Which of the following factors does not affect relative equilibrium?

Electromagnetic forces

What is the characteristic of the horizontal motion of a fluid in rectilinear acceleration?

The fluid moves horizontally along a straight line at constant acceleration

What is the primary characteristic of relative equilibrium?

The entire system, including the container and the liquid, undergoes uniform accelerated motion.

What is the key difference between static equilibrium and relative equilibrium?

Static equilibrium refers to a fluid at rest, while relative equilibrium refers to a fluid in motion.

What is the result of the absence of motion between each particle and between the liquid mass and the container in relative equilibrium?

The fluid is free from any shear stress.

What is an example of relative equilibrium?

The flow of a river observed from a moving boat.

What is the state of individual fluid particles in relative equilibrium?

They are at rest relative to each other.

Test your understanding of relative equilibrium, where a liquid and its container move together with uniform acceleration, but particles have no relative motion between each other.

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