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Mechanics, 2Nd Edition
by S. L. Kakani
Price :
Rs
595.00
Your Price :
Rs
535.50
10
Description: Written according to the latest curriculum of the UGC and Indian universities, the subject matter has been selected and developed in such a manner so as to provide a bridge between advanced and introductory level courses.
A good number of solved examples are included to illustrate and supplement the text besides review questions and problems. A large number of short-answers question and objective-type questions are given to meet the requirements for various entrance, UGC-CSIR: NET-SLET and UPSC examinations. Also included in the book are chapters on Fluid Mechanics, Analytical Mechanics and Non-linear Oscillations and Chaos. The pedagogical skill of the authors makes the presentation of the text extremely clear and comprehensive.
Contents: Preface to the Second Edition • Preface to the First Edition • VECTORS • Introduction • Scalar or dot product • Vector or cross product • Examples of scalar and vector products in physics • Multiple products • Vector derivatives • Scalar and vector fields • The gradient of scalar field • The concept of divergence and Gauss’s theorem • Green’s theorem in the plane • The curl of a vector field and stokes theorem • Successive applications of the operator V • Curvilinear coordinates • Applications to hydrodynamics • The equation of heat flow in solids • The gravitational potential • PHYSICAL FUNDAMENTALS OF MECHANICS • Introduction • Frame of reference and coordinate systems • Newton’s laws of motion • Space-time symmetry • Galileo’s principle of relativity and Galilean transformations • Fundamental interactions in nature • Elastic forces • Friction forces • NON-INERTIAL FRAMES • Non-inertial frames • Reference frame with translational acceleration • and fictitious or pseudo or inertial force • Coriolis and centrifugal forces • Motion relative to the earth • Equation of motion and deviation of freely falling bodies on earth • Effect of coriolis force on nuclear and molecular motion • Satellite motion • LAWS OF CONSERVATION • Introduction • Law of conservation of mass • Conservation of energy • Work-energy theorem • Conservative forces • Potential energy • Rectilinear motion under conservative force • Non-conservative forces • Principle of conservation of momentum • Centre of mass (or centre of inertia) • Collisions • Collision in centre of mass frame • Relations between scattering angles in Lab and CM frames • Kinetic energy in collision • Systems with variable mass • Angular momentum (or moment of momentum) • Angular momentum of a system of particles or an extended system • Angular momentum of two particles relative to their C.M. or C-Frame • Law of conservation of angular momentum • Angular momentum of the extended system about an arbitrary point • Rutherford Scattering: Scattering of charged particles by heavy nuclei • DYNAMICS OF RIGID BODIES • Introduction • Moment of inertia • Theorems of moment of inertia • Calculation of moment of inertia • Energy of a rotating rigid body • Gyroscopes • Spin precession in constant magnetic field • Fly wheel • Angular momentum in quantum mechanics • Molecular rotations • MOTION UNDER CENTRAL FORCES: THE UNIVERSAL GRAVITATION • Introduction • Nature of central forces • Motion under central force • Newton’s law of universal gravitation • Inertial and gravitational mass • Motion in gravitational field (Inverse square law field) • Kepler’s laws • Rutherford scattering • Gravitational field and potential • Three particles system • Inter-planetary flights • Binary stars • Gravitation and intermolecular forces • Gravitational red shift • ELASTIC PROPERTIES OF MATTER • Introduction • Some definitions • Different types of co-efficients of elasticity • Theorems on stress and strain • Relations between elastic constants • Bending of beams •ISBN - 9788130919867
Pages : 816
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