28626 - General Physics T-A (A-K)

Learning outcomes

Maturing the basic concepts of General Physics (with particular regard to particle mechanics) by the language of mathematical analysis, vector and integral calculus. To learn the scientifical-technical methodology which is necessary to face in quantitative terms the problems of General Physics.

Course contents

Mathematical introduction and basic vector algebra.

Kinematics .- Particles and reference frames. Displacement, velocity and acceleration vectors. Rectilinear motions. Uniform circular motion. Simple and damped harmonic motion. Application to the kinematics of particle systems: the main formula of rigid body kinematics. Angular velocity. Kinematics of relative motions: transformation  of displacements, velocities and accelerations.

Dynamics .- Active and vinculum forces, static measurement of forces. Elements of statics (main equations, center of mass) and on friction phenomena. First and second law of dynamics. Mass. Impulse and linear momentum. Newton's law on gravitation. The basic problem of dynamics. Insulated systems. The third law of dynamics. Applications to the dynamics of rigid bodies.Conservation of linear and angular momentum. Collision problems. The main equations of dynamics. Center of mass and its properties. Moments of inertia. The Huygens-Steiner theorem. Inertial rotation.

Work and energy .- Work of one force and of a system of forces.The work-energy theorem. The Koenig's theorem. Properties of kinetic energy. Work done by the weight force. Positional and conservative forces. Conditions satisfied by a conservative field of force. Potentials and potential energies. The conservation of mechanical energy.

Further information .- The course demands that the student become familiar with the indispensable elements of mathematcial analysis and calculus (such as derivations, integrations and limits of functions of one or more variables).

 

 Mathematical introduction and basic vector algebra.

Kinematics .- Particles and reference frames. Displacement, velocity and acceleration vectors. Rectilinear motions. Uniform circular motion. Simple and damped harmonic motion. Application to the kinematics of particle systems: the main formula of rigid body kinematics. Angular velocity. Kinematics of relative motions: transformation  of displacements, velocities and accelerations.

Dynamics .- Active and vinculum forces, static measurement of forces. Elements of statics (main equations, center of mass) and on friction phenomena. First and second law of dynamics. Mass. Impulse and linear momentum. Newton's law on gravitation. The basic problem of dynamics. Insulated systems. The third law of dynamics. Applications to the dynamics of rigid bodies.Conservation of linear and angular momentum. Collision problems. The main equations of dynamics. Center of mass and its properties. Moments of inertia. The Huygens-Steiner theorem. Inertial rotation.

Work and energy .- Work of one force and of a system of forces.The work-energy theorem. The Koenig's theorem. Properties of kinetic energy. Work done by the weight force. Positional and conservative forces. Conditions satisfied by a conservative field of force. Potentials and potential energies. The conservation of mechanical energy.

Further information .- The course demands that the student become familiar with the indispensable elements of mathematcial analysis and calculus (such as derivations, integrations and limits of functions of one or more variables).

 

 

 

 

 

 

 

 

Readings/Bibliography

A. Bertin, M. Poli, A. Vitale, Fondamenti di Meccanica, Esculapio Editore (Progetto Leonardo), Bologna.

S. Focardi, I. Massa e A. Uguzzoni: Fisica Generale - Meccanica e Termodinamica, Casa Editrice Ambrosiana.

Teaching methods

Front lectures.

Assessment methods

The examination is made of a written test made of 2-3 problems similar to those taught during the classes and 2-3 general questions on the topics of the course program. The oral examination is optional.

Partial examinations during the classes are not foreseen.

Teaching tools

Tutor assistance.

Office hours

See the website of Barbara Lanzoni