DALMINE
Overview
Date/time interval
Syllabus
Course Objectives
The student will acquire knowledge of the fundamental concepts and laws of Classical Mechanics and Thermodynamics. They will learn to formalize these laws into equations that govern the behavior of simple mechanical and thermodynamic systems, solving proposed problems based on the data provided. They will critically develop the analysis of results, verifying their consistency through dimensional analysis and their self-consistency in numerical terms.
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 required knowledge acquisition will take place through a written examination and (if applicable) an oral examination.
If the written examination is passed with a score above 21, the oral examination is considered optional.
Those who have not passed and recorded their OFA requirements are not permitted to take the exam.
Contents
- Vectors, Dimensional Analysis, Kinematic Variables, Uniform and Accelerated Linear Motion, Vertical Motion.
- Velocity and acceleration as functions of position, harmonic motion, circular and parabolic motion
- Principles of dynamics, momentum, and impulse
- Gravitational force, normal force, frictional force, elastic force, dynamic and static equilibrium
- Tension in strings, conical pendulum, and simple pendulum, work, and power
- Theorem of kinetic energy, conservative forces, potential energy of gravitational, frictional, and elastic forces, conservation of mechanical energy, angular momentum, and torque
- General concepts of relative motion and reference frames
- Dynamics of Systems of Particles, Center of Mass, Conservation of Momentum, Center of Mass Reference Frame and Laboratory Frame
- Collisions between particles: elastic, completely inelastic, inelastic
- Central forces and the law of universal gravitation
- Definition of rigid body, density, and center of mass position, motion of a rigid body, and static equilibrium of a rigid body
- 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 gravitational force, Stevin’s law, isobaric surfaces, hydraulic press, communicating vessels
- Archimedes’ principle, fluid motion in steady-state, 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 transitions, second law of thermodynamics
- Entropy and the principle of entropy increase
Online Resources
More information
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