The course provides the student with an introduction to the scientific methodology. The course program consists in the Newtonian mechanics of the material point and of point systems, including an introduction to the dynamics and statics of rigid bodies. The student will become familiar with the basic models of classical physics and in particular with the definition of physical quantity and with the concepts of motion, force, work, energy, as well as with the role played by the corresponding conservation theorems. The student will be able to apply the concepts learned to the resolution of simple problems through an adequate analytical approach.
Curriculum
Canali
scheda docente
materiale didattico
Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Programma
Introduction to the scientific method, physical quantities and their measurement.Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
Testi Adottati
1) Elementi di Fisica - Meccanica e termodinamica, P. Mazzoldi, M. Nigro, C. Voci, EdiSES Universitaria2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Modalità Frequenza
In-presence two-hours lessons three times a week for one semesterModalità Valutazione
Written test with exercises and theoretical questions
scheda docente
materiale didattico
- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Programma
Introduction- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
Testi Adottati
Advised textbook (in English lanugage):- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Modalità Frequenza
Attendance of frontal lectures, exercise classes and office hours is strongly recommended.Modalità Valutazione
The written exam consists of: - Open problem solving on point mechanics, rigid body mechanics, and thermodynamics. - Multiple-choice questions on theory.Canali
scheda docente
materiale didattico
Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Programma
Introduction to the scientific method, physical quantities and their measurement.Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
Testi Adottati
1) Elementi di Fisica - Meccanica e termodinamica, P. Mazzoldi, M. Nigro, C. Voci, EdiSES Universitaria2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Modalità Frequenza
In-presence two-hours lessons three times a week for one semesterModalità Valutazione
Written test with exercises and theoretical questions
scheda docente
materiale didattico
- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Programma
Introduction- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
Testi Adottati
Advised textbook (in English lanugage):- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Modalità Frequenza
Attendance of frontal lectures, exercise classes and office hours is strongly recommended.Modalità Valutazione
The written exam consists of: - Open problem solving on point mechanics, rigid body mechanics, and thermodynamics. - Multiple-choice questions on theory.Canali
scheda docente
materiale didattico
Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Programma
Introduction to the scientific method, physical quantities and their measurement.Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
Testi Adottati
1) Elementi di Fisica - Meccanica e termodinamica, P. Mazzoldi, M. Nigro, C. Voci, EdiSES Universitaria2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Modalità Frequenza
In-presence two-hours lessons three times a week for one semesterModalità Valutazione
Written test with exercises and theoretical questions
scheda docente
materiale didattico
- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Programma
Introduction- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
Testi Adottati
Advised textbook (in English lanugage):- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Modalità Frequenza
Attendance of frontal lectures, exercise classes and office hours is strongly recommended.Modalità Valutazione
The written exam consists of: - Open problem solving on point mechanics, rigid body mechanics, and thermodynamics. - Multiple-choice questions on theory.Canali
scheda docente
materiale didattico
Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Programma
Introduction to the scientific method, physical quantities and their measurement.Review of vector calculus and vector spaces in intrinsic, Cartesian and polar representation.
Kinematics of the material point in two and three dimensions.
Principles of the dynamics of the material point and their meaning. Static and dynamic equilibrium conditions.
Fall of bodies and parabolic motion.
Constraint forces and sliding, viscous and fluid friction for non-viscous fluids.
Motion on an inclined plane.
Oscillating systems: simple harmonic oscillator, damped, forced and resonance condition; conical pendulum and simple pendulum.
Ideal threads and cords and tension forces.
Work of a force and kinetic and mechanical energy for the material point and conservation theorems.
Change of reference systems: principles and equations of dynamics in non-inertial reference systems.
Mechanics of systems of material points: cardinal equations and fundamental theorems on energy, work and angular momentum. Binary collisions between material points.
Mechanics of rigid bodies and fundamental theorems. Translational motion, rotary motion and rototranslational motion. Conservation laws.
Rotational motion of a rigid body around a fixed axis and axial moment of inertia.
Testi Adottati
1) Elementi di Fisica - Meccanica e termodinamica, P. Mazzoldi, M. Nigro, C. Voci, EdiSES Universitaria2) Lezioni di Fisica I, D. Sette, A. Alippi, A. Bettucci, Ed. Zanichelli
3) Fisica - Meccanica e Termodinamica, Corrado Mencuccini, Vittorio Silvestrini, Casa Editrice Ambrosiana
Modalità Frequenza
In-presence two-hours lessons three times a week for one semesterModalità Valutazione
Written test with exercises and theoretical questions
scheda docente
materiale didattico
- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Programma
Introduction- Physical quantities and units of measurement
- Elements of vector calculus
Kinematics of a point particle
- Kinematic quantities
- Rectilinear motion and free fall
- Simple harmonic motion
- Parabolic motion
- Circular motion
- Kinematics in space
- Relative motion
Dynamics of a point
- Principles of dynamics (Newton's laws)
- Momentum and impulse
- Equilibrium
- Dynamic action of forces
- Weight force
- Constraint reactions
- Frictional forces
- Inclined plane
- Viscous friction force
- Elastic force
- Harmonic oscillator
- Tension
- Application to circular motions
- The simple pendulum
- Gravitational force
- Inertial and non-inertial reference frames
- Inertial forces
- Theory of universal gravitation
Work and energy
- Work and power
- Work-energy theorem. Applications
- Work done by weight force, elastic force, and frictional force
- Conservative forces. Potential energy
- Gravitational and elastic potential energy
- Law of conservation of mechanical energy. Applications
- Stability conditions of equilibrium and small oscillations
Dynamics of systems of point particles
- Point systems. Internal and external forces
- Center of mass and its motion
- First cardinal equation of the dynamics of systems
- Law of conservation of momentum
- Collision phenomena
- Torque and angular momentum
- Second cardinal equation of the dynamics of systems
- Law of conservation of angular momentum
- Koenig's theorems
Dynamics of rigid bodies
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Kinematics of rigid bodies: translation, rotation, roto-translation
- Equilibrium equations of a rigid body
- Dynamics of rigid bodies: rotations about a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
Testi Adottati
Advised textbook (in English lanugage):- Walker, Halliday, Resnick, "Fundamentals of Physics", John Wiley & Sons
Modalità Frequenza
Attendance of frontal lectures, exercise classes and office hours is strongly recommended.Modalità Valutazione
The written exam consists of: - Open problem solving on point mechanics, rigid body mechanics, and thermodynamics. - Multiple-choice questions on theory.