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Classical and analytical mechanics : theory, applied examples, and practice /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Poznyak, Alexander S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Diego : Elsevier, 2021.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Poznyak, Alexander S. 
245 1 0 |a Classical and analytical mechanics :  |b theory, applied examples, and practice /  |c Alexander S. Poznyak. 
264 1 |a San Diego :  |b Elsevier,  |c 2021. 
300 |a 1 online resource (526 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a Print version record. 
505 0 |a Front Cover -- Classical and Analytical Mechanics -- Copyright -- Contents -- List of figures -- List of tables -- About the author -- Preface -- Notation -- Introduction -- 1 Kinematics of a point -- 1.1 Products of vectors -- 1.1.1 Internal (scalar) product -- 1.1.2 Vector product -- 1.1.3 Main properties of triple products -- 1.2 Generalized coordinates -- 1.2.1 Different possible coordinates -- 1.2.2 Definition of generalized coordinates -- 1.2.3 Relationship of generalized coordinates with Cartesian -- 1.2.4 Coefficients of Lam�e -- 1.3 Kinematics in generalized coordinates 
505 8 |a 1.3.1 Velocity in generalized coordinates -- 1.3.2 Acceleration in generalized coordinates -- 1.4 Movement in the cylindrical and spherical coordinate systems -- 1.4.1 Movement in cylindrical coordinates -- 1.4.2 Movement in spherical coordinates -- 1.5 Normal and tangential accelerations -- 1.6 Some examples -- 1.7 Exercises -- 2 Rigid body kinematics -- 2.1 Angular velocity -- 2.1.1 Definition of a rigid body -- 2.1.2 The Euler theorem -- 2.1.3 Joint rotation with a common pivot -- 2.1.4 Parallel and non-coplanar rotations -- 2.2 Complex movements of the rigid body -- 2.2.1 General relations 
505 8 |a 2.2.2 Plane non-parallel motion and center of velocities -- 2.3 Complex movement of a point -- 2.3.1 Absolute velocity -- 2.3.2 Absolute acceleration -- 2.4 Examples -- 2.5 Kinematics of a rigid body rotation -- 2.5.1 Finite rotations -- 2.5.2 Rotation matrix -- 2.5.3 Composition of rotations -- 2.6 Rotations and quaternions -- 2.6.1 Quaternions -- 2.6.2 Composition or summation of rotations as a quaternion -- 2.7 Differential kinematic equations (DKEs) -- 2.7.1 DKEs in Euler coordinates -- 2.7.2 DKEs in quaternions: Poisson equation -- 2.8 Exercises -- 3 Dynamics 
505 8 |a 3.1 Main dynamics characteristics -- 3.1.1 System of material points -- 3.1.2 Three main dynamics characteristics -- 3.2 Axioms or Newton's laws -- 3.2.1 Newton's axioms -- 3.2.2 Expression for �Q -- 3.2.3 Expression for �KA -- 3.3 Force work and potential forces -- 3.3.1 Elementary and total force work -- 3.3.2 Potential forces -- 3.3.3 Force power and expression for j -- 3.3.4 Conservative systems -- 3.4 Virial of a system -- 3.4.1 Main definition of virial -- 3.4.2 Virial for homogeneous potential energies -- 3.5 Properties of the center of mass 
505 8 |a 3.5.1 Dynamics of the center of inertia (mass) -- 3.6 ``King/K�onig/Rey'' theorem -- 3.6.1 Principle theorem -- 3.6.2 Moment of inertia and the impulse moment with respect to a pivot -- 3.6.3 A rigid flat body rotating in the same plane -- 3.6.4 Calculation of moments of inertia for different rigid bodies -- 3.6.5 K�onig theorem application -- 3.6.6 Steiner's theorem on the inertia moment -- 3.7 Movements with friction -- 3.8 Exercises -- 4 Non-inertial and variable-mass systems -- 4.1 Non-inertial systems -- 4.1.1 Newton's second law regarding a relative system 
500 |a 4.1.2 Rizal's theorem in a relative system. 
504 |a Includes bibliographical references and index. 
650 0 |a Mechanics. 
650 0 |a Mechanics, Analytic. 
650 2 |a Mechanics  |0 (DNLM)D019563 
650 6 |a M�ecanique.  |0 (CaQQLa)201-0003997 
650 6 |a M�ecanique analytique.  |0 (CaQQLa)201-0023814 
650 7 |a mechanics (physics)  |2 aat  |0 (CStmoGRI)aat300054568 
650 7 |a Mechanics  |2 fast  |0 (OCoLC)fst01013446 
650 7 |a Mechanics, Analytic  |2 fast  |0 (OCoLC)fst01013485 
776 0 8 |i Print version:  |a Poznyak, Alexander S.  |t Classical and Analytical Mechanics.  |d San Diego : Elsevier, �2021  |z 9780323898164 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780323898164  |z Texto completo