Universitat Politècnica de Catalunya · BarcelonaTech

Mechanics I (2500007) – Course 2025/26 PDF

Contents

Fixed vector, sliding vector, free vector Unit vector Cartesian components Module of a vector Sum of vectors Dot product Cross product Problems solved in class

Dedication

3h Large group + 2h Medium group + 7h Self Study
Total: 12h

Definition of area and mass Definition of first order static moments Definition of centroid (geometric center) and center of mass (center of gravity) Symmetries Integration calculation method Calculation method for assembled sections Calculation method for mixed sections Problems solved in class

Dedication

3h Large group + 2h Medium group + 7h Self Study
Total: 12h

Moments of inertia of area Turning radii Parallel axes theorem Integration calculation method Calculation method for assembled sections Calculation method for mixed sections Problems solved in the classroom

Dedication

7h Large group + 2h Medium group + 12h 36m Self Study
Total: 21h 36m

Definition of position, displacement, velocity and acceleration Cartesian Components Tangential and normal components Circular motion Polar coordinates Angular velocity and acceleration Relative position Relative velocity and acceleration Problems solved in class

Dedication

5h Large group + 2h Medium group + 9h 48m Self Study
Total: 16h 48m

Translation movement Rotational movement with respect to a fixed axis Instant Center Rotation General motion of rigid solid Problems solved in class

Dedication

3h Large group + 2h Medium group + 3h Laboratory classes + 11h 12m Self Study
Total: 19h 12m

Statics equations Friction forces: Coulomb friction law Dynamic equilibrium: Newton and d'Alambert equations Problems solved in class

Dedication

4h Large group + 6h Medium group + 14h Self Study
Total: 24h

Kinetic energy in a translational movement Kinetic energy in a rotation movement with respect to a fixed axis Kinetic energy in general plane motion gravitational potential energy elastic potential energy Work of a force Work of a spring force Work of a torque Forces that do not work Principle of work and energy Principle of energy conservation Problems solved in class

Dedication

4h Large group + 3h Medium group + 9h 48m Self Study
Total: 16h 48m

Impulse of a force Linear and angular momentum Principle of impulse and momentum Problems solved in class

Dedication

3h Large group + 3h Medium group + 3h Laboratory classes + 12h 36m Self Study
Total: 21h 36m