Classical Mechanics By Gupta Kumar Sharma.pdf: A Review
Classical Mechanics By Gupta Kumar Sharma.pdf is a book that covers the basic concepts and principles of classical mechanics, such as Newton's laws of motion, conservation laws, Lagrangian and Hamiltonian mechanics, central force problems, rigid body dynamics, small oscillations, and special theory of relativity. The book is written by S.L. Gupta, V. Kumar and H.V. Sharma, who are professors of physics at various Indian universities. The book is intended for undergraduate and postgraduate students of physics and engineering, as well as for researchers and teachers who want to refresh their knowledge of classical mechanics.
The book has 12 chapters and 516 pages. Each chapter begins with an introduction and a summary of the main topics covered. The book also contains numerous solved examples, exercises, and multiple choice questions to help the readers test their understanding and apply their skills. The book also provides appendices on mathematical methods, units and dimensions, and physical constants. The book is written in a clear and concise style, with diagrams and tables to illustrate the concepts and results. The book also uses SI units throughout.
Some of the features of the book are:
Classical Mechanics By Gupta Kumar Sharma.pdf
It covers both the analytical and numerical methods of solving classical mechanics problems.
It includes topics such as variational principles, canonical transformations, Poisson brackets, Hamilton-Jacobi theory, and relativistic mechanics.
It provides a historical perspective on the development of classical mechanics and its relation to other branches of physics.
It explains the physical significance and applications of the concepts and results of classical mechanics.
The book is available online for free download from various sources[^1^] [^2^]. It is also available for purchase from Pragati Prakashan[^2^], which is the publisher of the book. The book has received positive reviews from students and teachers who have used it as a textbook or a reference book for classical mechanics courses.In this article, we will review some of the main topics and concepts covered in the book Classical Mechanics By Gupta Kumar Sharma.pdf. We will also provide some examples and exercises to illustrate the applications and challenges of classical mechanics.
Newton's Laws of Motion
The book begins with a review of Newton's laws of motion, which are the foundation of classical mechanics. Newton's laws of motion state that:
A body at rest or in uniform motion remains in that state unless acted upon by an external force.
The rate of change of momentum of a body is proportional to the net external force acting on it and is in the same direction as the force.
For every action, there is an equal and opposite reaction.
Using Newton's laws of motion, we can analyze the motion of various systems of particles and rigid bodies under different forces and constraints. For example, we can study the motion of a projectile under gravity, the motion of a pendulum under tension, or the motion of a planet under gravitational attraction.
The book also discusses the conservation laws that arise from the symmetry and invariance properties of physical systems. Conservation laws state that certain quantities remain constant during the motion of a system, regardless of the external forces or interactions. Some of the important conservation laws are:
Conservation of mass: The total mass of a system remains constant.
Conservation of energy: The total energy of a system remains constant.
Conservation of momentum: The total momentum of a system remains constant.
Conservation of angular momentum: The total angular momentum of a system remains constant.
Using conservation laws, we can simplify the analysis of complex systems and find conserved quantities that can help us solve equations of motion. For example, we can use conservation of energy to find the speed of a roller coaster at different points along its track, or use conservation of angular momentum to find the precession rate of a spinning top. 0efd9a6b88