1. Fluid Pressure and Its Measurement
- Pascal’s Law: Pressure applied anywhere in a confined, stationary fluid acts perpendicular to all surfaces and is transmitted undiminished in every direction.
- Hydrostatic Equation: The pressure (P) within an incompressible liquid increases linearly with its depth (d) due to gravity (g) and the fluid’s mass density (ρ):
\(P=\rho \cdot g\cdot d\) - Measurement: Includes mathematical proofs behind the mechanics of barometers and multi-fluid manometers.
2. Resultant Pressure on Surfaces
- Total Pressure Force: Methods to compute the integrated force exerted by a static fluid against flat, curved, or inclined vertical walls (such as dams or underwater gates).
- Center of Pressure: Calculating the precise coordinate point on a submerged surface where the resultant fluid force effectively acts.
3. Buoyancy and Floating Bodies (Featured on Cover)
- Archimedes’ Principle: An object fully or partially submerged in a fluid experiences a vertical upward buoyant force equivalent to the total weight of the fluid it displaces.
- Equilibrium of Floating Bodies: Analysis of the three physical states depicted on the book cover:
- Stable Equilibrium: The body returns to its original posture after a minor tilt.
- Unstable Equilibrium: A minor tilt creates an overturning moment that makes the body capsize.
- Neutral Equilibrium: The body remains static in its new position after being tilted.
- Metacentre: Determining the stability of marine structures (like ship hulls) by evaluating the metacentric height (GM).
4. Equilibrium of Gases
- Atmospheric Pressure: Variations in pressure across compressible gas layers at varying heights.
- Boyle’s Law Application: Analyzing volume and pressure adjustments for trapped air masses within fluids under constant temperature conditions.
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