Università degli Studi di Siena

Corso di Studi in Fisica e Tecnologie avanzate

An introduction to classical mechanics (Fisica Generale I - primo modulo - 6 crediti)

Syllabus (last update: April 2011)

• Vector calculus. Elements of differential and integral calculus.

• Mechanics

  • Point Mass Kinematics
    Motion in one dimension. Motion in an Euclidean space. Position, speed and acceleration vectors. Fall in a gravity field. Parabolic motion. Armonic motion. Circular motion. Rotational kinematics in scalar and vector notations. Motion on ortogonal axes.

  • Point Mass Dynamics
    The principle of inertia. Linear momentum and its conservation law. Static forces. Impulsive forces. Laws of Newton dynamics. Impulse of a force. Static measurement of a force.
    Elastic force. The armonic oscillator.
    Weight. Inertial and gravitational masses. Superposition principle of forces. Reaction force. Line integral. Work. Power. Kinetic energy theorem. Conservative and non-conservative forces. Conservation of mechanical energy. Elastic collisions.
    Torque. Angular momentum. Angular momentum theorem.

  • Relative Motion
    Galileian invariance. Accelerated reference frames. Rotating systems. Non-inertial forces.

  • Dinamycs of a system of point masses
    Discrete systems of point masses. Internal and external forces. Center of mass. Center of mass theorem. Mementum of inertia and angular momentum for a discrete system. Angular momentum theorem. Konig theorems. Energy conservation.

  • Continuous systems
    Momentum of inertia and center-of-mass for continuous systems. Huygens-Steiner theorem. Rotation around a fixed axis. Pair of forces.

  • Rigid Body Dynamics
    Equations of rigid body dynamics. Dynamics of a constrained rigid body. Statics of a rigid body.

  • Gravitation (an introduction)
    Newtonian law of gravitation. Static gravity and centrifugal correction. Gravitational potential energy. Motion in a central field. Kepler laws.
    

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  Textbooks

  Mazzoldi-Nigro-Voci, "Fisica" Vol.1 - EdiSES

  A.Bettini - "Meccanica e Termodinamica" (volume I) - Ed. Zanichelli

  Exemplary problems

  Mazzoldi, Saggion, Voci - "Problemi di Fisica Generale" - Edizioni Cortina - Padova

  Bibliography

  R. P. Feynman - "The Feynman Lectures on Physics" - volume I - Addison Wesley

  - D.E. Roller, R. Blum - "Fisica" - Vol. 1 - Zanichelli

  - Resnick, Halliday, Krane - " Fisica " - Vol.1 - Casa Editrice Ambrosiana - Milano

  - R.A.Serway - "Fisica per Scienze ed Ingegneria" - Volume Primo - EdiSES

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  E-mail marrocchesi@pi.infn.it

  Università di Siena - Dipartimento di Fisica - tel(fax) : +39-0577-234-688(689)

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