Mechanics (2500202) – Course 2025/26 PDF
Contents
Fixed vector, sliding vector, free vector Unit vector (versor) Cartesian components Modulus of a vector Addition Subtraction Scalar product Vector product Problems solved in class
Dedication
3h Large group + 1h Medium group + 5h 36m Self StudyDefinition and calculation of moments of a vector Varignon theorem for vector systems Problems solved in class
Dedication
1h Large group + 1h Medium group + 1h Laboratory classes + 4h 11m Self StudyPosition, displacement, velocity, and acceleration Position, displacement, velocity and acceleration Rectangular components Normal and tangential components Circular motion Polar components Angular velocity Problems solved in class Relative movement using translation axes Relative position Relative speed Relative acceleration Inertial system Problems solved in class
Dedication
5h Large group + 2h Medium group + 1h Laboratory classes + 11h 12m Self StudyTranslational motion Rotation about a fixed axis General motion of rigid body Relative speed Center of instantaneous rotation Relative acceleration Relative motion using rotating axes: non-inertial systems Problems solved in class
Dedication
3h Large group + 2h Medium group + 3h Laboratory classes + 11h 12m Self StudyDefinition of area and mass Definition of first-order static moments Definition of centroid (geometric center) and center of mass (center of gravity) Symmetry Calculation method by integration Calculation method for compound sections Problems solved in class
Dedication
2h Large group + 1h Medium group + 1h Laboratory classes + 5h 36m Self StudyArea Moments of Inertia Product of Inertia Radius of Gyration Parallel Axes Theorem Calculation method by integration Calculation method for compound sections Definition Theorem of parallel axes Calculation methods Problems solved in class
Dedication
3h Large group + 2h Medium group + 1h Laboratory classes + 8h 23m Self StudyConditions for the equilibrium of a particle and a rigid body, Newton's laws, Restrictions on the supports and degree of constraint Degree of indetermination, concepts of isostatic and hyperstatic Free body diagram Problems solved in class
Dedication
3h Large group + 1h Medium group + 1h Laboratory classes + 7h Self StudyConnections between structural elements Idealized model of a structure Equilibrium conditions Free body diagram for each structural element Equilibrium equations for the structure
Dedication
2h Large group + 1h Laboratory classes + 4h 11m Self StudyNewton's Laws System of Particles Problems solved in class
Dedication
2h Large group + 2h Medium group + 1h Laboratory classes + 7h Self StudyEquations of rectilinear translational motion Equations of curvilinear translational motion Equations of rotational motion with respect to a fixed axis General plane motion Problems solved in class
Dedication
3h Large group + 2h Medium group + 1h Laboratory classes + 8h 23m Self StudyKinetic energy in a translational motion Kinetic energy in a rotational motion about a fixed axis Kinetic energy in a general plane motion Gravitational potential energy Elastic potential energy Work of a variable force Work of a constant force Work of a weight force Work of a spring force Work of a couple Forces that have 0 work Principle of work and energy Principle of conservation of energy Problems solved in class
Dedication
3h Large group + 2h Medium group + 3h Laboratory classes + 11h 12m Self Study