Gyroscopes and Harmonic MotionExplores gyroscopes, harmonic motion, differential equations, damping effects, and resonance phenomena in oscillatory systems.
Lagrange MethodCovers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.
Euler-Lagrange EquationsCovers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Constraints and LagrangeCovers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Euler-Lagrange EquationCovers the Euler-Lagrange equation in Sobolev spaces and discusses minimization, convexity, and weak forms.
