Introduction to Classical Mechanics - Brossura

French, A.J.

Brossura

ISBN 10: 0412381400 ISBN 13: 9780412381409

Casa editrice: Springer, 2013

Riassunto

Previously published as "Newtonian Mechanics", this book is a condensed version aimed at the undergraduate. The text presents ideas in both classical and modern physics, starting from basic observations about space, time and motion and ending with an elementary treatment of some problems in rotational dynamics. The prime emphasis is on the development and use of Newton's Laws. Student problems are included at the end of chapters with solutions at the end of the book.

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Contenuti

1 Space, time and motion.- What is motion?.- Frames of reference.- Coordinate systems.- Combination of vector displacements.- Scalar product of vectors.- Units and standards of length and time.- Velocity.- Relative velocity and relative motion.- Acceleration.- Straight-line motion.- Uniform circular motion.- Velocity and acceleration in polar coordinates.- Problems.- 2 Forces.- Forces in equilibrium.- Action and reaction in the contact of objects.- Rotational equilbrium: torque.- Inertia.- Force and inertial mass: Newton’s second law.- Some comments on Newton’s second law.- The invariance of Newton’s second law; relativity.- Concluding remarks.- Problems.- 3 Using Newton’s laws.- Some examples of F = ma.- Circular paths of charged particles in uniform magnetic fields.- The fracture of rapidly rotating objects.- Motion against resistive forces.- Detailed analysis of resisted motion.- Motion governed by viscosity.- Growth and decay of resisted motion.- Simple harmonic motion.- Problems.- 4 Universal gravitation.- The discovery of universal gravitation.- Kepler’s third law.- The moon and the apple.- The gravitational attraction of a large sphere.- Other satellites of the earth.- The value of G, and the mass of the earth.- Local variations of g.- Inertial and gravitational mass.- Weight.- Weightlessness.- The discovery of Neptune.- Gravitation outside the solar system.- Einstein’s theory of gravitation.- Problems.- 5 Collisions and conservation laws.- The conservation of linear momentum.- Action, reaction, and impulse.- Extending the principle of momentum conservation.- Jet propulsion.- Rockets.- The zero-momentum frame.- Kinetic energy of a two-body system.- Kinetic energy changes in collisions.- Interacting particles subject to external forces.- The neutrino.- Problems.- 6 Energy conservation in dynamics; vibrational motions.- Work, energy, and power.- Energy conservation in one dimension.- The energy method for one-dimensional motions.- Some examples of the energy method.- The harmonic oscillator by the energy method.- Small oscillations in general.- The linear oscillator as a two-body problem.- Problems.- 7 Conservative forces and motion in space.- Extending the concept of conservative forces.- Object moving in a vertical circle.- The simple pendulum.- The pendulum as a harmonic oscillator.- The simple pendulum with larger amplitude of swing.- Universal gravitation: a conservative central force.- A gravitating spherical shell.- A gravitating sphere.- Escape speeds.- More about the criteria for conservative forces.- Fields.- Motion in conservative fields.- The effect of dissipative forces.- Problems.- 8 Inertial forces and non-inertial frames.- Motion observed from unaccelerated frames.- Motion observed from an accelerated frame.- Accelerated frames and inertial forces.- Accelerating frames and gravity.- Centrifugal force.- General equation of motion in a rotating frame.- The earth as a rotating reference frame.- The tides.- Tidal heights; effect of the sun.- The search for a fundamental inertial frame.- Problems.- 9 Motion under central forces.- Basic features of the problem.- The conservation of angular momentum.- Energy conservation in central force motions.- Use of the effective potential-energy curves.- Bounded orbits.- Unbounded orbits.- Circular orbits in an inverse-square force field.- Elliptic orbits: analytical treatment.- Energy in an elliptic orbit.- Possible orbits under a 1/r2 force.- Rutherford scattering.- Problems.- 10 Extended systems and rotational dynamics.- Momentum and kinetic energy of a many-particle system.- Angular momentum.- Angular momentum as a fundamental quantity.- Conservation of angular momentum.- Moments of inertia of extended objects.- Two theorems concerning moments of inertia.- Kinetic energy of rotating objects.- Angular momentum conservation and kinetic energy.- Torsional oscillations and rigid pendulums.- Linear and rotational motions combined.- Background to gyroscopic motion.- Gyroscope in steady precession.- Atoms and nuclei as gyroscopes.- The precession of the equinoxes.- Problems.- Solutions to problems.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0412381400
• ISBN 13: 9780412381409
• Rilegatura: Copertina flessibile
• Numero di pagine: 324
• Contatto del produttore: non disponibile
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