Kinematic: motion of points; Change of coordinates in non inertial framework. Dynamics of rigid body. Constraints and reactions, holomorphic constraints. Evolution equations of a system with constraints. Rigid body: matrix of inertia. Precessions. Euler Equations. Lagrangian Mechanics: holomorphic constraints and lagrangian coordinates. Euler-Lagrange equations
Understand the basis equations of motion of rigid body
Prerequisites
Calculus, Physics
Teaching Methods
Teaching courses
Further information
Type of Assessment
Verification test
Course program
Systems of coordinates. Transformations between inertial observers (3D case), Euler angles. Kinematic of points and rigid bodies; Dynamics of systems:
Center of mass, linear and angular momentum, Kinetic energy. Cardinal equations.
Constraint and reactions, smooth constraints. Equation of motion of constraint systems. Dynamics of rigid bodies: Moment of inertia e matrix of inertia. Rotation of a rigid around a fixed axis. Laminar motion. Precession. Euler equations. Lagrangian mechanics: holonomic constraints and lagrangian coordinates. Smooth constraints. Euler-Lagrange Equations (of second kind). Conservative systems. Integrals of motion.