Analytical elements of mechanics. Volume 2, Dynamics /

Analytical Elements of Mechanics, Volume 2: Dynamics focuses on the processes, methodologies, approaches, and technologies involved in classical mechanics. The book first offers information on the differentiation of vectors, including vector functions of a scalar variable; derivatives of sums and pr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kane, Thomas R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1961.
Temas:
Mechanics, Analytic.
M�ecanique analytique.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Dynamics; Copyright Page; PREFACE; Table of Contents; Chapter 1. DIFFERENTIATION OF VECTORS; 1.1 Vector functions of a scalar variable; 1.2 The first derivative of a vector function; 1.3 The second and higher derivatives of vector functions; 1.4 Derivatives of sums; 1.5 Derivatives of products; 1.6 Derivatives of implicit functions; 1.7 The first derivative of a unit vector which remains perpendicular to a line fixed in a reference frame; 1.8 Taylor's theorem for vector functions; 1.9 Vector tangents of a space curve; 1.10 Vector binormals of a space curve
  • 1.11 The vector principal normal of a space curve1.12 The vector radius of curvature of a space curve; 1.13 The Serret-Frenet formulas; Chapter 2. KINEMATICS; 2.1 Rates of change of orientation of a rigid body; 2.2 Angular velocity; 2.3 Angular acceleration; 2.4 Relative velocity and acceleration; 2.5 Absolute velocity and acceleration; Chapter 3. SECOND MOMENTS; 3.1 Second moments of a point; 3.2 Second moments of a set of points; 3.3 Principal directions, axes, planes, second moments, and radii of gyration of a set of points; 3.4 Second moments of curves, surfaces, and solids
  • 3.5 Second moments of sets of particles and continuous bodiesChapter 4. LAWS OF MOTION; 4.1 Inertia forces and force systems; 4.2 D'Alembert's principle; 4.3 Motions of rigid bodies; 4.4 Linear and angular momentum; PROBLEM SETS; PROBLEM SET 1; PROBLEM SET 2; PROBLEM SET 3; PROBLEM SET 4; PROBLEM SET 5; PROBLEM SET 6; PROBLEM SET 7; PROBLEM SET 8; PROBLEM SET 9; PROBLEM SET 10; PROBLEM SET 11; PROBLEM SET 12; APPENDIX: Centroidal Principal Axes and Squares of Centroidal Principal Radii of Gyration of Curves, Surfaces, and Solids ; CURVES; SURFACES; SOLIDS; INDEX

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