Fluid Mechanics: Buoyancy and Floatation

Description

Lecture notes on the behavior of bodies immersed in fluids. The material focuses on the forces exerted by fluids on submerged or floating objects and the mathematical conditions for stability. Key Highlights: - Archimedes' Principle: Definition and calculation of buoyant force (up-thrust) based on displaced fluid weight. - Center of Buoyancy: Understanding the point through which the buoyant force acts. - Meta-centric Height: Detailed explanation of the Metacentre (M) and how to calculate Meta-centric height (GM). - Stability Analysis: Conditions for stable, unstable, and neutral equilibrium for both submerged and floating bodies. - Practical Calculations: Includes numerical examples for calculating the depth of immersion and stability of solid cylinders and blocks.