ABSTRACT
Problem 1. A particle (material point) moves without friction inside a pipe of elliptic shape and constant cross section, rotating about its major axis with constant angular velocity ω (see Fig.VII.1). The mass m of the particle, the gravitational acceleration g, and the semi-axes a > b of the ellipse are given. Determine:
a) The equilibrium positions of the particle; b) Stability of the equilibrium positions; c) Period of small oscillations of the particle about the stable
positions of equilibrium.
