Dynamics: Archimedes' Force

This lecture covers the applications of Archimedes' force, focusing on scenarios such as a balloon held by a string, a fluid in an accelerated cart, and a balloon in a cart. The forces involved, including weight, tension, and Archimedes' buoyant force, are analyzed. The equilibrium conditions for objects floating, sinking, or staying still are explained. The lecture also discusses the compensation of the apparent weight of fluid elements by Archimedes' force in accelerated fluids. Additionally, an experiment involving a helium balloon on a rotating table is presented to estimate the acceleration of a rotating reference frame. The angle of the string of the balloon provides a measure of the acceleration. Theoretical concepts are illustrated with practical examples and experiments.