(^742) „„„„„ A Textbook of Engineering Mechanics
742

Equilibrium of

Floating Bodies 36

CHAPTERCHAPTERCHAPTERCHAPTERCHAPTER

Contents

1. Introduction.


2. Archimedes’ Principle.


3. Buoyancy.


4. Centre of Buoyancy.


5. Metacentre.


6. Metacentric Height.


7. Analytical Method for
   Metacentric Height.


8. Types of Equilibrium of a
   Floating Body.


9. Stable Equilibrium.


10. Unstable Equilibrium.


11. Neutral Equilibrium.


12. Maximum Length of a Body
    Floating Vertically in Water.


13. Conical Buoys Floating in a
    Liquid.

36.1.INTRODUCTION

We see, that whenever a body is placed over a

liquid, either it sinks down or floats on the liquid. If

we analyse the phenomenon of floatation, we find that

the body, placed over a liquid, is subjected to the fol-

lowing two forces :

1. Gravitational force.


2. Upthrust of the liquid.
   Since the two forces act opposite to each other,
   therefore we have to study the relative effect of these
   forces. A little consideration will show, that if the gravi-
   tational force is more than the upthrust of the liquid,
   the body will sink down. But if the gravitational force