Stability and Small Oscillations in General Physics

This lecture covers the concepts of stable equilibrium, balance, and small oscillations, as well as the expression of gravitational potential for differently oriented frames. It discusses the development around equilibrium points, the study of the function v(x) to determine important cases, and the stability guaranteed by restoring forces. The lecture also explores the frequencies of small oscillations, the search for equilibrium positions, and the harmonic oscillations around equilibrium points. The instructor demonstrates the weight and remaining in a vertical plane, the material point attached to a rigid rod, and the curvilinear coordinate in the search for equilibrium positions.