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Theoretical mechanics for sixth forms. Volume 2 /
Theoretical Mechanics for Sixth Forms, Volume 2 deals with mathematics as a double subject for sixth-form pupils. This book is a continuation of the revised edition of the course in Theoretical Mechanics. This volume discusses the principle of virtual work, stability of equilibrium, vector algebra,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon Press,
1972.
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| Edición: | Second (SI) edition. |
| Colección: | Commonwealth and international library.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Theoretical Mechanics for Sixth Forms; Copyright Page; Table of Contents; PREFACE; CHAPTER XV. THE MOTION OF A RIGID BODY ABOUT A FIXED AXIS; 15.1. The Definition of a Rigid Body; 15.2. The Kinetic Energy of a Rigid Body Rotating about a Fixed Axis; 15.3. Calculation of Moments of Inertia in Particular Cases; 15.4. Conservation of Energy; 15.5. The Compound Pendulum; 15.6. The Equation of Motion for a Rigid Body Rotating about a Fixed Axis; 15.7. The Force Exerted on the Axis of Rotation; 15.8. Impulse and Momentum.
- 15.9. Note on the Relationship between the Equations of Motion of Rotation of a Rigid Body and the Equations of Motion for a Particle moving in a Straight LineMISCELLANEOUS EXERCISES XV; CHAPTER XVI. FREE MOTION OF A RIGID BODY IN TWO DIMENSIONS; 16.1. Angular Velocity and Angular Acceleration; 16.2. Instantaneous Centre of Rotation; 16.3. The Motion of a Rigid Lamina Referred to its Centre of Mass; 16.4. The Kinetic Energy of a Lamina Moving in its Plane; 16.5. The Angular Momentum about an Arbitrary Axis Perpendicular to its Plane of a Lamina Moving in its Own Plane.
- 16.6. Three-dimensional Motion16.7. Impulsive Motion; 16.8. Application to Problems; MISCELLANEOUS EXERCISES XVI; CHAPTER XVII. MOTION WITH VARIABLE ACCELERATION; 17.1. Kinematics; 17.2. Dynamical Problems; 17.3. Rate of Working by a Variable Force; 17.4. Equations of Motion Deduced from the Energy Equation; 17.5. Damped Harmonic Oscillations; MISCELLANEOUS EXERCISES XVII; CHAPTER XVIII. MOTION OF A PARTICLE IN TWO DIMENSIONS; 18.1. A Note on Vectors; 18.2. Motion of a Particle in Two Dimensions-Special Representations; 18.3. Motion of a Particle on a Smooth Curve.
- 18.4. The Angular Momentum of a Particle about an Axis18.5. The Motion of a Projectile; MISCELLANEOUS EXERCISES XVIII; CHAPTER XIX. SYSTEMS OF COPLANAR FORCES; 19.1. Forces Acting on a Particle; 19.2. Coplanar Forces Acting on a Rigid Body; 19.3. The Equivalence of Sets of Coplanar Forces; 19.4. The Equilibrium of a Rigid Body under the Action of a System of Coplanar Forces; 19.5. A Law of Vector Addition; 19.6. The Moment of a Force as a Vector; MISCELLANEOUS EXERCISES XIX; CHAPTER XX. THE EQUILIBRIUM OF RIGID BODIES; 20.1. Conditions of Equilibrium; 20.2. Hinged Bodies.
- 20.3. Problems of Equilibrium Involving More than One Body20.4. The Equilibrium of the Hinge; MISCELLANEOUS EXERCISES XX; CHAPTER XXI. THE PRINCIPLE OF VIRTUAL WORK; 21.1. The Work Done by a Force Acting on a Particle; 21.2. The Potential Energy of a Particle; 21.3. Extension to Rigid Bodies; 21.4. The Principle of Virtual Work; 21.5. Applications of the Principle of Virtual Work; MISCELLANEOUS EXERCISES XXI; CHAPTER XXII. STABILITY OF EQUILIBRIUM; 22.1. The Concept of Stability; 22.2. Stability of Equilibrium; 22.3. Rolling Stability-The Rocking Stone; MISCELLANEOUS EXERCISES XXII.