Preface
Chapter 8. D’ALEMBERT – LAGRANGE PRINCIPLE AND LAGRANGE’S EQUATION
8.1 D’Alembert – Lagrange principle
8.2 Lagrange Equations of the second Kind
8.3 Lagrange Equation with multipliers
Chapter 9. KINETICS OF RIGID BODIES IN THREE DIMENSIONS
9.1 Moment of inertia and product of inertia
9.2 Linear and angular momentum of a rigid body
9.3 Kinetic energy of a rigid body
9.4 Dynamic equations of a rigid body in three dimensions
9.5 Body rotation about a fixed axis – bearing reactions
9.6 Differential equations of motion for a body rotation about a fixed point
9.7 Gyroscopic motion – Approximate Theory of Gyroscope
9.8 Differential equations of motion of a rigid body in three dimensions
Chapter 10. MECHANICAL VIBRATIONS
10.1 Introduction
10.2 Vibration of single degree of freedom system
10.3 Vibration of multi degree of freedom systems
10.4 Mechanical-Electrical Analogy
Appendix A1. Some mathematical expressions
Appendix A2. Moment of inertia of homogeneous rigid bodies
Appendix A3. Some vector operations
References