Fundamental mechanics: Newtonin mechanics for engineering

dc.date.accessioned2025-12-19T11:29:00Z
dc.date.available2023-01es
dc.date.issued2023-01-21
dc.description.abstractThis book is addressed at a first course in engineering mechanics. Newtonian mechanics is studied, a non-relativistic classical mechanics and, therefore, applied to objects that are neither extremely small nor excessively fast. The newtonian mechanics affects a good part of the world around us. It is the mechanics of the everyday world. The book includes the basic concepts of mechanics with theoretical demonstrations. You will also find issues and problems, some resolved. The text includes graphs, figures, and diagrams for facilitate understanding. Mainly the foundations of mechanics are studied, but you will also find an introduction to wave phenomena and a small foray into analytical mechanics.
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dc.description.tableofcontentsPrologue 1 Physico-mathematical foundations of mechanics Introduction 1.1 Space, time and reference frames 1.2 Euclidean Cartesian coordinates. Distance 1.3 Scalars and vectors 1.4 Principle of symmetry 1.5 Measurement and treatment of experimental data 1.6 Newton’s first law. Inertial reference frames 1.7 Point kinematics: Position, trajectory, velocity and acceleration 2 Dynamics of a particle Introduction 2.1 Newton’s first and second laws 2.2 Force and momentum 2.3 Torque and angular momentum of a particle 2.4 Work, kinetic energy and potential energy. Power 2.5 Some forces 3 Dynamics of N particles Introduction 3.1 Forces between particles. Newton’s second and third laws 3.2 Net force and centre of mass 3.3 Momentum 3.4 Angular momentum 3.5 Work, kinetic energy and potential energy 3.6 Collisions 3.7 Gravitational and electromagnetic interaction 3.8 Constraints and reactions. Possible displacements and virtual displacements. 3.9 The general equation of dynamics 3.10 Conservative system with constraints. Energy conservation 3.11 Rigid body 3.12 Topics in rigid body kinematics 3.13 Equations of motion for a rigid body 3.14 Torque 4 The statics of rigid bodies Introduction 4.1 The statics of a body: Equilibrium conditions 4.2 Weight and centre of gravity 4.3 Forces on bodies due to gravitating fluids: Archimedes Principle 4.4 Constraints and reaction forces 4.5 The statics of N rigid bodies 4.6 Virtual work principle 4.7 Equilibrium and stability in conservative systems 5 Dynamics of a rigid body in a plane Introduction 5.1 Translation equation in 3D 5.2 Rotation equation for (2D) plane motion 5.3 Kinetic energy of rotation and translation. Energy conservation 6 Small oscillations Introduction 6.1 Small oscillations around a stable equilibrium position 6.2 Simple harmonic motion (SHM) 6.3 Damped harmonic motion (DHM) 6.4 Forced harmonic motion (FHM) 7 Mechanical waves Introduction 7.1 Waves 7.2 Plane waves and the wave equation 7.3 From Newton’s laws to the wave equation 7.4 Fourier analysis and synthesis 8 Wave phenomena Introduction 8.1 The power and intensity of plane waves 8.2 The power and intensity of spherical waves 8.3 Transmission and reflection of a wave at a change in medium . 8.4 Interference and beats 8.5 Standing waves 8.6 Doppler effect and shock waves 8.7 Diffraction 9 Lagrange equations Introduction 9.1 Lagrange equations of the second kind 9.2 Lagrange equations 1 Problems and questions 1.5 Measurement and treatment of experimental data 1.7 Point kinematics: position, trajectory, velocity and acceleration . 2 Problems and questions 2.1 Newton’s first and second laws 2.2 Force and momentum . 2.3 Torque and angular momentum of a particle . 2.4 Work, kinetic energy and potential energy. Power 2.5 Some forces 3 Problems and questions 3.2 Net force and centre of mass . 3.3 Momentum 3.4 Angular momentum 3.5 Work, kinetic energy and potential energy 3.6 Collisions . 3.7 Gravitational and electromagnetic interaction 3.10 Conservative system with constraints. Energy conservation 3.12 Topics of rigid body kinematics . 3.13 Equations of motion of the rigid body 4 Problems and questions 4.2 Weigth and centre of gravity . 4.3 Forces on bodies due to gravitating fluids. Archimedes Principle 4.5 Statics of N rigid bodies . 4.7 Equilibrium and stability in conservative systems 5 Problems and questions 5.2 Rotation equation for (2D) plane motion 5.3 Kinetic energy of rotation and translation. Conservation of energy
dc.description.version1ª Ediciónes
dc.formatLibro digital
dc.format.extentp. 346
dc.format.extent40.00 MB
dc.identifier.doi10.5821/ebook-9788419184658
dc.identifier.isbn9788419184658
dc.identifier.uries
dc.identifier.urihttps://une-dspace.glaux.es/handle/123456789/55054
dc.languageIngléses
dc.publisherUniversitat Politècnica de Catalunya. Iniciativa Digital Politècnica
dc.relation.ispartofseriesUPCGraues
dc.relation.publisherurlhttps://hdl.handle.net/2117/381618
dc.rightsCreative Commons Attribution 4.0 International (CC BY 4.0)en
dc.rights.accessRightsopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectINGENIERÍA Y ARQUITECTURA::INGENIERÍA MECÁNICA Y DE LA NAVEGACIÓN::Ingeniería Mecánicaes
dc.subject.keywordsmecànica
dc.subject.keywordsdinámica
dc.subject.keywordsestàtica
dc.subject.keywordsmoviment ondulatori
dc.subject.otherMecánica clásicaes
dc.titleFundamental mechanics: Newtonin mechanics for engineering
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