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Presentation MATHEMATICS HYDROSTATIC

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This document explores the principles governing the stability of floating bodies in equilibrium. It discusses key concepts such as buoyancy, center of gravity, center of buoyancy, and metacenter, which determine whether a floating object remains stable, tilts, or capsizes. Topics include static and dynamic stability, the calculation of metacentric height, and the factors influencing a vessel's ability to return to equilibrium after a disturbance. Applications in naval architecture, fluid mechanics, and marine engineering are highlighted, with real-world examples like ships, boats, and floating platforms.

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DEPARTMENTAL SEMINAR
ON

Topic:- The stability of Equilibrium
floating bodies

, Introduction:- If body floating partially
immersed in a liquid be given a small
displacement from its position of equilibrium
and left to move under the action of the forces
acting on it. Three possibilities are there:-
1. Either the forces acting on it tend to bring
the body to its original position .
2. They tend to take the body further away
from its original position of equilibrium.
3. The body may remain at rest in the
displacement position .
In the first case equilibrium is said to be
stable, while in the second case equilibrium
is said to be unstable, I third case the
equilibrium is said to be neutral.

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April 27, 2025
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Number of pages
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Written in
2024/2025
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