| Description |
1 online resource (526 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Note |
Print version record. |
| Contents |
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 Lamé -- 1.3 Kinematics in generalized coordinates |
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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 |
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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 |
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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 -- 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 |
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3.5.1 Dynamics of the center of inertia (mass) -- 3.6 ``King/König/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 König 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 |
| Note |
4.1.2 Rizal's theorem in a relative system. |
| Bibliography |
Includes bibliographical references and index. |
| Subject |
Mechanics.
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Mechanics, Analytic.
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Mechanics |
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Mécanique.
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Mécanique analytique.
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mechanics (physics)
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Mechanics
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Mechanics, Analytic
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| Other Form: |
Print version: Poznyak, Alexander S. Classical and Analytical Mechanics. San Diego : Elsevier, ©2021 9780323898164 |
| ISBN |
0323898890 |
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9780323898898 (electronic bk.) |
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9780323898164 (print) |
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0323898165 (print) |
| Standard No. |
AU@ 000069095727 |
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AU@ 000069303268 |
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