| Lectures and exercises |
hours |
| Topics |
Specific contents |
|
| Measurements and unities |
Introduction. Measurements. Fundamental quantities and units. Units and derived dimensions. Space, time and matter |
2
|
| Vectors |
Vectors, operations between vectors, reference systems |
1
|
| Kinematics in two and three dimensions |
Rectilinear motion: velocity and acceleration. Some special motions. Free vertical motion. Vector representation of velocity and acceleration. Relative motions: composition of velocity and accelerations and Galileian tranformations. Concepts of special relativity and Lorentz transformations. Curvilinear motion: velocity and tangential and normal accelerations. Circular motion: angular, radial and transversal velocities and angular acceleration. Relative rotational motion. Coriolis acceleration. |
5
|
| Force, quantity of motion and momenta |
First law of the dynamics (the law of inertia). Inertial reference systems. Forces and the second law of dynamics. Some examples about forces. Third law of dynamics. Some applications of second law. Elatic force and resolution of the equation of motion for armonic oscillations. Friction and its properties. Resistence of a medium and limit velocity. Circular uniform motion: centripetal force and motion discussion in the rotational reference system. Quantity of motion (linear momentum). Torque of a force. Angular version of the second law of dynamics. Central forces. |
10
|
| Work and energy |
Work of a force and power. Kinetic energy. Unit of the energy. Work of a constant force. Potential energy and relation with the work. Relation between the torque of a force and the potential energy in the curvilinear planar motion. Conservation of the energy of a particle and conservative forces. Non-conservative forces and energy dissipation. Force and energy in the simple armonic motion. |
10
|
| Particle systems, collisions, rigid bodies and equilibrium |
Motion of the center of mass of a particle system: isolated system; system subjected to external forces. Reduced mass. Angular momentum of a particle system. Energy conservation of a particle system and total energy. Internal energy of a particle system. Particle collisions. Elastic and anelastic collisions. Rigid body and its angular momentum. Equation of motion for the rotation of a rigid body. Rotational kinetic energy of a rigid body. Pure rolling motion. Equilibrium og a rigid body. |
12
|
| Oscillations and elastic waves |
Oscillations: simple and composite pendulum. Dumped and forced oscillations. Undulatory motion and wave properties. Waves in a string and sound waves. Interference. Reflection and rifraction of waves. Doppler effect. |
6
|
| Total hours for lectures and exercises |
46 |
| for exercises only |
12 |
|
Further educational activities
|
hours
|
| Labs |
8 |
| Tutorials / Seminars |
0 |
| Workshops |
0 |
| Guided tours |
0 |
| |
0 |
| Total hours for further educational activities |
8 |
| Total hours |
54
|