Advanced Newtonian Rigid Dynamics

Rajnikant Sinha (Autor)

Buch | Softcover

973 Seiten

2024 | 2023 ed.
Springer Verlag, Singapore
9789819920242 (ISBN)

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This book discusses topics on D’Alembert’s principle, virtual work, Eulerian angles, Lagrange’s equation in generalized coordinates and motion of a top. 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.

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.

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.

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.

Erscheinungsdatum	04.10.2024
Zusatzinfo	16 Illustrations, color; 375 Illustrations, black and white; IX, 973 p. 391 illus., 16 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Schlagworte	conservation principle of angular momentum • conservation principle of energy • D'alembert's Principle • Eulerian angles • impulsive forces • kinematics of a rigid body • Lagrange's equations in generalized coordinates • momental ellipsoid • motion of a top and its stability • Virtual Work
ISBN-13	9789819920242 / 9789819920242
Zustand	Neuware