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	Intermediate Dynamics by Patrick Hamill
	Price : Rs 495.00
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Description: Intended for the two-semester, upper-division undergraduate Classical Mechanics course, Intermediate Dynamics provides a student-friendly approach to the material. The text begins with an optional review of elementary physical concepts and continues to be an in-depth study of mechanics. Each chapter includes numerous accessible exercises that help students review and understand key material while rigorous end-of-chapter problems challenge students to find solutions based on concepts discussed in the chapter. Additional computer problems are offered at the end of each chapter for those who would like to utilize numerical techniques.

Key features:
• Extensively classroom-tested, this text communicates with students at an appropriate level, yet covers in depth the traditional material of an intermediate mechanics course.
• Each chapter concludes with a brief summary that allows students to revisit particular equations or concepts.
• Simple exercises throughout the chapters allow students to check their basic understanding of concepts, and each chapter includes a set of demanding problems to ensure complete comprehension of the material.

Contents: Part I: Introductory Concepts • Chapter 1: A Survey of Elementary Principles • Kinematics • Position • Velocity • Acceleration • One-dimensional motion • Rotational kinematics • Dynamics • Newton’s law of motion • Application to extended bodies: Centre of mass • Rotational dynamics • Statics • Conservation laws • The conservation of linear momentum • The conservation of angular momentum • The conservation of energy

Part II: Principles of Mechanics • Chapter 2: Kinematics • Kinematics • Galileo Galilei ( Optional historical note) • One-dimensional kinematics • The position of a particle on a plane • Unit vectors • Kinematics in two dimensions • Kinematics in three dimensions • Summary • Problems • Chapter 3: Newton’s Laws: Determining the Motion • Isaac Newton (optional historical note) • The law of inertia • Newton’s second law and the Equation of Motion • Newton’s Third Law: Action equals reaction • Is rotation absolute or relative? • Determining the motion • Solving for the motion by numerical methods ( Optional) • Summary • Problems • Chapter 4: The Lagrangian Method • The equation of motion by inspection • The Langrangian • Lagrange’s equations • Degrees of freedom • Generalized momentum • Hamilton’s equations • Summary • Problems • Chapter 5: The Conservation of Energy • The work-energy theorem • Work along a path: The line integral • Potential energy • Force, work and potential energy • Potential energy and the work-energy theorem • Energy diagrams • Solving for the motion: The energy integral • Energy as a system of particles • Work as an extended body • Summary • Problems • Chapter 6: Conservation of Linear Momentum • The law of conservation of momentum • The motion of a rocket • Collisions • Inelastic collisions: The coefficient of restitution• Impulse • Momentum of a system of particles • Relative motion: The reduced mass • Collisions in center of mass coordinates (optional) • Chapter 7: Conservation of Angular Momentum • Definition of angular momentum • Conservation of angular momentum • Angular momentum of a system of particles • Angular momentum relative to the centre of mass • Rotation of a rigid body about a fixed axis • The gyroscope • Angular momentum is an axial vector • Summary • Problems • Chapter 8: Conservation Laws and Symmetries • Symmetry • Symmetry and the laws of physics • Symmetrical systems • Symmetrical systems • Non-conservation of parity • Strangeness • Symmetry breaking • Summary • Problems.Part III: The Gravitational Field • Chapter 9: The Gravitational Field • Newton’s law of universal gravitation • The gravitational field • The gravitational field of an extended body • The gravitational potential • Field lines and equipotential surfaces • The gravitational field equations • The equations of Poisson and Laplace • Summary • Problems.

Part IV: The Mechanics of Particles • Chapter 10: Central Force Motion • Johannes Kepler ( Optional historical note) • Kepler’s laws • Central forces • The equation of motion • Energy and the effective potential • Solving the equations of motion • The equations of an ellipse • Kepler’s laws revisited • A perturbed circular orbit • Resonances • Summary • Problems • Chapter 11: Harmonic Motion • Springs and pendulums • Solving the differential equation (optional) • The damped harmonic oscillator • The forced harmonic oscillator • Coupled oscillators • Summary • Chapter 12: The Pendulum • A simple pendulum with arbitrary amplitude • The physical pendulum • The center of percussion • The spherical pendulum • Summary • Problems • Chapter 13: Accelerated Reference Frames • A linearly accelerating reference frame • A rotating coordinate frame • Fictitious forces • Centrifugal force and the plumb bob • The Coriolis force • The Foucault pendulum • Summary • Problems.

Part V: The Mechanics of Extended Bodies • Chapter 14: Statics (Optional) • Basic concepts • Couples, resultants and equilibrants • Reduction to the simplest set of forces • The hanging cable • Stress and strain • The Centroid • The centre of gravity • Equilibrium of fluids • D’Alembert’s principle and virtual work ( optional) • Summary • Problems • Chapter 15: Rotational Kinematics • Orientation of a rigid body • Orthogonal transformations • The Euler Angles • Euler’s Theorem • Infinitesimal rotations • Summary • Problems • Chapter 16 Rotational Dynamics • Rotational momentum • Kinetic energy • Properties of the inertia tensor • The Euler equations of motion • Torque-free motion • The spinning top • Summary • Problems • Chapter 17: Waves • A wave in a stretched string • Direct solution of the wave equation • Standing waves • Traveling waves • Standing waves as a special case of travelling waves • Energy • Momentum • Summary • Problems • Chapter 18: Small Oscillations (Optional) • Introduction • Statement of the problem • Normal modes • Matrix formulation • Normal coordinates • Coupled pendulums: An example • Many degrees of freedom • Transition to continuous systems • Summary • Problems.

Part VI: Special Topics • Chapter 19: The Special Theory of Relativity • Albert Einstein • Experimental background • The postulates of special relativity • The Lorentz transformations • The addition of velocities • Simultaneity and causality • The twin paradox • Minkowski space-time diagrams • 4-vectors • Relativistic dynamics • Summary • Problems • Chapter 20: Classical Chaos (Optional) • Configuration space and phase space • Periodic motion • Attractors • Chaotic trajectories and Liapunov exponents • Poincare maps • The Henon- Heiles Hamiltonian • Summary • Problems • Appendix A: Formulas and Constants.ISBN - 9789380108230

Pages : 744

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Intermediate Dynamics

by Patrick Hamill