THE ERECTING EGG IN WATER AND LAGRANGE’S THEOREM

The stability of equilibrium of an egg in liquid is an interesting example of the Lagrange's theorem in determining the stability of conservative system. It is shown that a stable straight equilibrium of an egg in liquid is possible when the specific weight of liquid exceeds a critical value. The static bifurcation problem is discussed that the number and stability of equilibrium attitudes of the egg is variable with the specific weight of liquid.