S5 ING FMM

This course provides an in-depth study of the dynamics and analytical formulation of mechanical systems. It begins with advanced concepts in solid mechanics, including translational, rotational, and planar motions of rigid bodies, Euler’s equations and angles, central force motion, and the kinetic energy expressed through the inertia tensor. The second part introduces analytical mechanics, focusing on mechanical constraints, generalized coordinates, and principles that govern motion, such as virtual work and D’Alembert’s principle. The course further develops the formulation of Lagrange’s equations of the first and second kinds and concludes with Hamilton’s formalism, including Hamilton’s and Routh’s equations. Emphasis is placed on understanding the theoretical foundations and mathematical methods that describe the motion of constrained mechanical systems.