Advanced Newtonian Rigid Dynamics

This book discusses topics on D'Alembert's principle, virtual work, Eulerian angles, Lagrange's equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed.

Discusses topics on D'Alembert's principle, virtual work, and Eulerian angles Explains momental ellipsoid of a point of a rigid body and conservation principle of angular momentum Contains solutions to more than 350 powerful problems as well as more than 350 figures

Autorentext
Rajnikant Sinha is a former professor of Mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals and three textbooks with Springer: Smooth Manifolds; Real Analysis and Complex Analysis, Vols. 1 and 2; and Galois Theory and Advanced Linear Algebra. His research focuses on topological vector spaces, differential geometry and manifolds.

Klappentext

This book discusses topics on D Alembert s principle, virtual work, Eulerian angles, Lagrange s equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed.

Inhalt
Chapter 1. 3-D Kinematics of Rigid Bodies.- Chapter 2. D'Alembert's Principle.- Chapter 3. Momental Ellipsoid .- Chapter 4. Motion About a Fixed Axis.- Chapter 5. Motion in Two Dimensions (Finite Forces).- Chapter 6. Impulsive forces.- Chapter 7. Motion in Three Dimensions.- Chapter 8. Conservation Principles of A.M. and Energy.