DALMINE
Overview
Date/time interval
Syllabus
Course Objectives
The course involves the study and in-depth exploration of mechanics, thermodynamics, and electromagnetism
Course Prerequisites
Basic knowledge of physical quantities and units of measurement, fundamentals of vector calculus, and understanding of derivative and integral operations.
Teaching Methods
The course includes:
- Theoretical lectures with blackboard instruction, interspersed with a wide range of real-world examples, exercises, and applications of theory to practical problems.
- Sessions dedicated entirely to exercises.
A significant part of learning is achieved through student interaction during lectures, consistent study, and personal (re)completion of examples and exercises, whose solutions become fundamental elements for a deep understanding of the subject matter.
Assessment Methods
The assessment of knowledge acquisition will be conducted through a written exam and (potentially) an oral exam.
If the written exam is passed with a score >21, the oral exam is considered optional.
During each examination session, it will be possible to complete the test for:
Part A (maximum 32.5 ): Kinematics and dynamics of particles, system dynamics, collisions.
Part B (maximum 32.5 ): Rigid body, Fluid Dynamics, Thermodynamics, Electromagnetism.
Comprehensive Exam (maximum 30 ).
The written exam is considered passed if:
Both partial exams (A and B) are passed with a score >=16; the final score will be the average of scores from Parts A and B.
The comprehensive exam is passed with a score >=16.
Candidates who did not pass Part A are permitted to take Part B.
Candidates who have not passed and registered their OFA (Additional Formative Obligations):
May not take Part B.
May take Part A.
Contents
- Vectors, dimensional analysis, kinematic variables, uniform and accelerated rectilinear motion, vertical motion of a body
- Velocity and acceleration as functions of position, harmonic, circular, and parabolic motion
- Principles of dynamics, momentum, and impulse
- Weight force, constraint reaction, frictional force, elastic force, dynamic and static equilibrium
- Tension in wires, conical pendulum, and simple pendulum, work and power
- Kinetic energy theorem, conservative forces, potential energy of gravitational, frictional, and elastic forces, conservation of mechanical energy, angular momentum, and torque
- Dynamics of systems of particles, center of mass, conservation of momentum, center of mass and laboratory reference frames
- Collisions between particles: elastic, perfectly inelastic, inelastic
- Definition of rigid body, density, and center of mass position, motion of a rigid body, and static equilibrium
- Rigid rotations around a fixed axis and calculation of moments of inertia, Huygens-Steiner theorem, pure rolling motion, and application of impulsive forces
- Angular impulse, collisions between rigid bodies and particles, mechanical properties of fluids, pressure, static equilibrium of a fluid under gravity, Stevin’s law, isobaric surfaces, hydraulic press, communicating vessels
- Archimedes’ principle, steady-state fluid motion, Bernoulli's theorem and applications, viscosity, thermodynamic equilibrium, and calorimetry
- Phase changes and latent heat, reversible and irreversible transformations, first law of thermodynamics, definition of internal energy, ideal gas equation of state, Boyle’s law, Gay-Lussac’s laws, Mayer’s relation
- Transformations of ideal gases: adiabatic, isobaric, isochoric, isothermal; Carnot cycle, refrigeration cycle, phase changes, second law of thermodynamics
- Entropy and the principle of entropy increase
- Conductors and insulators, electrostatic force and field for discrete and continuous charge distributions, electrostatic field of a ring and disk with uniform charge distribution, electrostatic field lines, motion of a charge in an electrostatic field, electromotive force, potential, and electrostatic potential energy
- Electrostatic potential calculation, electrostatic potential energy, motion of a charge in an electrostatic field, charge acceleration, E-field as a gradient, equipotential surfaces, electrostatic flux, Gauss’s law, applications and implications of Gauss’s law, study of the E-field and potential of a uniformly charged sphere, an infinite line charge, and a uniformly charged plane
- Conductors in equilibrium, Coulomb’s theorem, hollow conductor and electrostatic shielding, spherical and planar capacitors, in series and parallel, dielectrics and dielectric constant, electrical conduction, steady current, Ohm’s law, Joule’s effect, resistors in series and parallel, electromotive force
- Charging and discharging of a capacitor through a resistor, displacement current, magnetic force on a moving charge and on a current-carrying conductor, torque on a loop in a magnetic field, motion of a charged particle in a magnetic field, mass spectrometer and cyclotron
- Laplace’s first law, Biot-Savart law, magnetic field of a circular loop, straight solenoid, Ampere’s law, magnetic properties of matter, Gauss’s law for the magnetic field, Faraday-Lenz law, electromagnetic damping, eddy currents, Ampere-Maxwell law, Maxwell’s equations.
Online Resources
More information
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