Deduction of Lagrange Formula II

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Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Covers examples of potentials in virtual work for structural mechanics.

Explores mechanics concepts, including moments of inertia for common solids and their practical applications.

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Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Explores the dynamics of a pendulum, emphasizing equilibrium conditions and kinetic energy calculations for different points.

Explores the derivatives of trigonometric functions and their reciprocals.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.