( english version )

Pure mechanics ( 6 CFU ) Programma

Free vectors (definition of vectror and of versor – operations with vectors – geometric applications);

Outline of Geometry (polar coordinates – regular curves – recular surfaces);

Outline of Kinematics of particles (velocity and acceleration);

Kinematics of a rigid body (degree of freedom – equiprojectivity – angular velocity – istantaneous motions af a rigid body);

Relative kinematics (theorem on composition of velocities – Coriolis theorem on composition of accelerations);

Plane motion of a rigid body (instantaneous centre of zero veolcity – Chasles' theorems);

Newton' laws (inertial frames of reference – statement of the three laws – apparent forces);

Dynamics of particles (statics and dynamics of a free element – statics and dynamics of a constrained element);

Applied vectors (polar moment – polar moment variation formula);

Geometry and kinematics of masses (barycentre – moment of inertia – momentum and angular momentum);

Cardinal equations (cardinal equations of statics and dynamics - plane systems);

Dynamics of a rigid body (sufficiency of cardinal equations for rigid bodies – equivalence – statics and dynamics of a free or constrained body);

Dynamics of systems ; Principle of virtual works (ideal geometric constraints – static equation in the case of bilateral constraints).

Outline of Geometry (polar coordinates – regular curves – recular surfaces);

Outline of Kinematics of particles (velocity and acceleration);

Kinematics of a rigid body (degree of freedom – equiprojectivity – angular velocity – istantaneous motions af a rigid body);

Relative kinematics (theorem on composition of velocities – Coriolis theorem on composition of accelerations);

Plane motion of a rigid body (instantaneous centre of zero veolcity – Chasles' theorems);

Newton' laws (inertial frames of reference – statement of the three laws – apparent forces);

Dynamics of particles (statics and dynamics of a free element – statics and dynamics of a constrained element);

Applied vectors (polar moment – polar moment variation formula);

Geometry and kinematics of masses (barycentre – moment of inertia – momentum and angular momentum);

Cardinal equations (cardinal equations of statics and dynamics - plane systems);

Dynamics of a rigid body (sufficiency of cardinal equations for rigid bodies – equivalence – statics and dynamics of a free or constrained body);

Dynamics of systems ; Principle of virtual works (ideal geometric constraints – static equation in the case of bilateral constraints).