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Caracteristicas
- Páginas: 346
- Fecha Edición: 2023
- Edición: 1
- Idioma: Inglés.
- Encuadernación: Tapa blanda o Bolsillo.
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Fundamental mechanics
Newtonin mechanics for engineering
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9788419184641
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Prologue
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
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