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Kiran Gupta Classical Mechanics Of Particles And Rigid Bodies Pdf

kiran gupta classical mechanics of particles and rigid bodies pdf

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Classical mechanics of particles and rigid bodies

Variational Principle and Lagrange's Equations: Some techniques of the calculus of variations- Derivations of Lagrange's equations-from Hamilton's principle-extension of Hamilton's principle to nonholonomic systems-advantages of variational principle formulation- conservation theorems and symmetry properties.

Two body Central force Problems ; Reduction to the equivalent one-body problem-the equations of motion and first integrals-the equivalent one-dimensional problems and classification of orbits-the virial theorem-the differential equation of orbit and integrable power-law potentials-conditions for closed orbits bertrand's theorem -the Kepler Problem Inverse square law of force-the motion in time in the Kepler problem-the Laplace-Runge-Lenz vector-scattering in a central force field, Transformation of the scattering problem to the laboratory co-ordinates.

I The Kinematics of Rigid Body Motion: The independent co-ordinates of a rigid body-orthogonal transformation-formal properties of the transformation matrix, The Euler Angles, Euler's theorem on the motion of a rigid body-finite rotations-infinitesimal rotations-rate of change of vector-the Coriolis force. The Rigid Body Equations of Motion: Angular momentum and kinetic energy of motion about a point- Tensor and dyadics-the inertia tensor and the momentum of inertia-the eigen values of the inertia tensor and the principal axis transformation-methods of solving rigid body problems and the Euler equations of motion Torque- Free motion of a rigid body-the heavy symmetrical top with one point fixed-precession of the equinoxes and of satellite orbits-precession of system of changes in a magnetic field.

Elasticity: Introduction, Displacement vector and the strain tensor, Stress tensor, Strain energy, Possible forms of free energy and stress tensor for isotropic solids, Elastic moduli for Isotropic solids, Elastic properties of general solids: Hooke's law and stiffness constants, Elastic properties of isotropic solids, propagation of elastic waves in isotropic elastic media.

Classical Mechanics of particles and Rigid body-kiran C. Gupta, New age Publishers 2. Classical Mechanics-J. Uppadaya 3. Classical mechanics S. Gupta, Meenakshi prakashan, , New Delhi. Introduction to classical mechanics R. Takwall and P.

An Introduction to Continuum Mechanics-M. Gurtin, Academic Press. Linear Algebra: Various types of matrices, rank of matrix, Types of linear equation, Linear dependence and independence of vectors, eigen values and eigen vectors, Cayley Hamilton Theorem, Digonalisation of matrices, Elementary ideas about Tensors, Types of tensors, Transformation properties, Introductory group theory, Generators of continuous groups.

Fourier Series, Fourier and Laplace Transforms. I Ordinary Differential Equation: Differential equation of the First order and First Degree, variable separation, Homogeneous differential equation, Linear Differential Equation, Exact differential equation, Equation of first order and Higher degree, Method of finding the complementary function and particular integrals, Series solution- Frobenous method.

Bessel's differential equation and its solution, Bessel's functions, Recurrence formula, Generating function, Legendre equation and its solution, Legendre's Polynomial, Rodrigue's formula, laguerre's differential equation, Laguerre's functions, Hermite polynomials. Wave equation, Heat equation, Possion equation. Mathematical Methods for Physicist: G. Arfken, Hans. Weber,-Academic Press 2.

Mathematical Physics: H. Dass, Rama Verma-S. Chand and Company Ltd. Matrices and tensors: A. Joshi 2. Xavier-New Age International Publishers 3. Mathematical Physics: B. Rajput 4. Mathematical Physics: Satyaprakash 5.

Introduction Mathematical Physics: Charlie Harper. Common elementary computer science:programming instructions, simple algorithms and computational methods.

Overview of C: Introduction, Sample C programs,basic structure of C program,executing a "C" Program,Constants, Variable and Data types, Operators and Expressions, Control statements while, do-while, for statements, nested loops, if-else, switch, break, continue statements.

C Functions: Defining and accessing a function passing arguments to a function, function prototypes. Physics of Semiconductor Devices- S. SZE 2. Semiconductor Optoelectronic devices:- P. Bhattacharya PHI 3. Digital Electronics and Computer Design: M.

Mano PHI 4. Electronics Fundamentals and Applications: J. Ryder 5. Computer Oriented Numerical Methods V. Numerical Methods in Science and Engineering M. Xavier-New Age International Publishers. Physics of Semiconductor Devices- D. Gun Barrel and Tube Launcher: Theory of thin cylinders, use of plastic region of the material and its application to the pre-stressing tube, theory of failure, approximate Mises Hencky criteria, principle of monoblock non auto-fr ettaged and auto-frettaged barrels.

Gun Design: Gun design rules, Design of combustion chambers, Rifling profile and stress due to rifling, Gun tube acoustics, Gun erosion I Ordnance: Obturation, Muzzle brake, fume extractor, Firing mechanism, functions and characteristics of saddle, cradle, traversing and elevating gears, balancing gears. Recoil System: Elements of recoil mechanism, small arms, method of obtaining automatic fire, factors affecting recoil gas system, feed mechanism, trigger mechanism, sights.

Elements of Ordnance, , T. Hayes, John Wiley, New York 1. Measurement of velocity of liquid by Ultrasonic Interferometer. Measurement of band gap energy of different semiconductors including LED. Implementation of Adder using Universal Logic gates. To study Multivibrator circuits. Study of different types of Flip Flops. Realization of Boolean expression by using K- Maps. Study of BCD to 7 segment Display. Study of Left register, Right register and Ring counter Study of R-C coupled Amplifier Study of Solar cell KIT.

Canonical ensemble and energy fluctuation, Grand canonical ensemble and density fluctuation, Equivalence of canonical and grand canonical ensemble. I Quantum Statistical Mechanics: The density matrix, Ensembles in quantum statistical mechanics, Ideal gas in micro canonical and grand-canonical ensemble, Equation of state for Ideal Fermi gas, Theory of white dwarf stars.

Phase Transitions: Ideal Bose gas, Photons and Planck s Law, Phonons, Bose-Einstein condensation, Thermodynamic description of phase transition, Phase transitions of second kind, Discontinuity of specific heat, Change in symmetry in a phase transition of second kind 1. Statistical Mechanics-K: Huang 1. Elementary Statistical Physics- C Kittel 2. Statistical Mechanics-F: Mohling 3. Statistical Mechanics-Landau and Lifshitz.

Physics Transitions and Critical Phenomena-H. Stanley 5. Thermal Physics-C. Kittel 6. Fundamentals of Statistical and Thermal Physics-F. Mathematical Basics: Expansion Theorem, Completeness and Closure property of the basis set, Coordinate and Momentum representation, Compatible and incompatible observables, Commutator algebra, Uncertainty relation as a consequence of noncommutability, Minimum uncertainty wave packet Quantum Dynamics: Time evolution of quantum states, time evolution operator and its properties, Schroedinger picture, Heisenberg picture, Interaction picture, Equation of motion, Operator method of solution of Harmonic Oscillator, Matrix representation and time evolution of creation and annihilation operator.

Motion in Spherical Symmetric Field: Hydrogen atom, Reduction of two body problem to equivalent one body problem, Radial equation, Energy eigenvalues and eigenfunctions, Degeneracy, radial probability distribution. Free particle problem incoming and outgoing spherical waves, Expansion of plane waves in terms of spherical waves, bound states of a 3-D square well, particle in a sphere.

Approximation Methods: Time independent perturbation theory and application, variational method, WKB approximation, Time dependent perturbation theory and Fermi s Golden rule, selection rules. Scatterings: Elementary theory of scattering, Phase shifts, Partial waves, Born approximations.

Quantum Mechanics-Joichan 1. Quantum Mechanics- Gasorowicz. Bernoulli s equation along a stream line and in rotational flow, Bernoulli s equation from thermodynamics,static and dynamics pressure, Losses due to geometric changes:-sudden expansion and contraction Venturimetre.

I Viscous Effect: Normal stress shear stress, Navier-Stokes theorem, Flow through a parallel channel, Flow past a sphere, Terminal velocity order of magnitude analysis, Approximation of the Navier-Stokes equations. Boundary layer concepts:- Momentum integral equation, velocity profile, Boundary layer thickness, Skin Friction effecter, Transverse component of velocity, Displacement thickness, momentum thickness.

Drag:- Bluff badles, Aerofoil, Boundary layer control, entrance region. Compressible flow: Perfection gas Relations:- Speed of propagation in gas, in isothermal and adiabatic condition, Mach number, Limits of incompressibility. Isentropic flow:- Laws of conservation, Static and stagnation values, flow through a duct of varying crosssection, mass flow rate, choking a converging passage, constant area adiabatic flow and Fanno like, constant area frictionless flow and Raleigh line.

Fluid Mechanics, A. Mohanty, PHI 2. Fluid Dynamics, R. Mises, Springer 1. Foundation of Fluid Mechanics, S. Yuan, PHI 2. Text Book of Fluid Mechanics, R. Khurmi, S. Chand 3. Perspective in Fluid Dynamics, Batchelor, Cambridge. Chemical Thermodynamics of Gun Propellant: Introduction to gun, ammunition, projectiles and missiles- Energetic of gun propellants-composition of gaseous products- Corrections to the basic calculationsprediction of propellant performance-the ratio of heat capacities.

Classical Mechanics By Gupta Kumar Sharma.pdf

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kiran gupta classical mechanics of particles and rigid bodies pdf

Classical mechanics of particles and rigid bodies by Kiran C. Gupta, , New Age International edition, in English - 2nd ed.


Elementary Analytical Dynamics Of A Particle

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Classical mechanics book by gupta kumar sharma pdf download Download link of classical mechanics by dr jc upadhyaya pdf for msc physics msc be net gate and. Gupta kumar sharma classical mechanics are almost similar but special relativity is given in upadhyay.

Variational Principle and Lagrange's Equations: Some techniques of the calculus of variations- Derivations of Lagrange's equations-from Hamilton's principle-extension of Hamilton's principle to nonholonomic systems-advantages of variational principle formulation- conservation theorems and symmetry properties. Two body Central force Problems ; Reduction to the equivalent one-body problem-the equations of motion and first integrals-the equivalent one-dimensional problems and classification of orbits-the virial theorem-the differential equation of orbit and integrable power-law potentials-conditions for closed orbits bertrand's theorem -the Kepler Problem Inverse square law of force-the motion in time in the Kepler problem-the Laplace-Runge-Lenz vector-scattering in a central force field, Transformation of the scattering problem to the laboratory co-ordinates. I The Kinematics of Rigid Body Motion: The independent co-ordinates of a rigid body-orthogonal transformation-formal properties of the transformation matrix, The Euler Angles, Euler's theorem on the motion of a rigid body-finite rotations-infinitesimal rotations-rate of change of vector-the Coriolis force. The Rigid Body Equations of Motion: Angular momentum and kinetic energy of motion about a point- Tensor and dyadics-the inertia tensor and the momentum of inertia-the eigen values of the inertia tensor and the principal axis transformation-methods of solving rigid body problems and the Euler equations of motion Torque- Free motion of a rigid body-the heavy symmetrical top with one point fixed-precession of the equinoxes and of satellite orbits-precession of system of changes in a magnetic field.

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5 Comments

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