Lectures related to Vertical Metronome: Equilibrium and Stability

Covers a vertical metronome's forces, angle equation, equilibrium positions, and stability.

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores the dynamics of a block pulled by a spring under various conditions.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.

Covers the analysis of speed variation using differential equations and small time intervals.

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Explores the dynamics of a rolling cylinder on inclined planes with and without slipping.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Explores the behavior of vertical oscillators and the derivation of their differential equations.