tailieunhanh - Ebook Arya - Classical mechanics (2nd edition): Part 2

(BQ) Introduces Mathcad, using it in to do mathematical calculations, solve problems, make plots and graphs, and generally provide more in-depth coverage and a better understanding of physics. Pays special attention to such topics of modern interest as nonlinear oscillators, central force motion, collisions in CMCS, and horizontal wind circulation. | CHAP E R Gravitational Force and Potential INTRODUCTION In this chapter we shall investigate Newton s universal law of gravitation and its application. We introduce the concepts of gravitational field intensity or simply gravitational field g and gravitational potential V. We calculate these quantities for different mass distributions by applying Newton s law of gravitation. Gauss s laws will be applied to calculate g and V for simple symmetrical mass distributions. Finally gravitational field equations will be introduced which are differential equations satisfied by functions such as g and V. These equations provide a more general procedure of interest. NEWTON S UNIVERSAL LAW OF GRAVITATION Newton s universal law of gravitation which is a law of force together with Newton s laws of motion has been applied by physicists to predict and calculate very precisely the motion of the planets moons satellites and other objects in the universe. In 1666 23-year-old Isaac Newton stated the universal law of gravitation in the following form Newton s Universal Law of Gravitation. The gravitational force or interaction of attraction between any two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance be tween them. Thus the magnitude of the force F between any two objects of masses m and mj separated by a distance fij is given by . n niị F G V 387 388 Gravitational Force and Potential Chap. 10 Figure a Gravitational forces between two masses m and nij. b Gravitational force on mass m due to mass M. where G is the gravitational constant its presently accepted value is G X 10 N-m2 kg2 Referring to Fig. a we may write the law in vector form as f Gy 7 r 10_5 ij ớ y where Fy is the gravitational force by which mass is attracted by mass ill . Tjj Fj r is the distance between the two masses niị and nij and Fjj is the force by which nij is attracted by mass niị.

• Cơ khí - Chế tạo máy
• Arya Classical mechanics
• Classical mechanics
• Gravitational force
• Rigid body motion
• Nonlinear coordinate systems
• Special theory of relativity
• Newtonian mechanics
• Harmonic oscillators
• Oscillating systems
• Vector analysis
• A first course in general relativity
• General relativity
• Special relativity
• Vector analysis in special relativity
• Perfect fluids in special relativity
• Preface to curvature
• Curved manifolds
• Lecture Notes on General Relativity
• thuyết tương đối
• bài giảng thuyết tương đối
• Albert Einstein
• Lecture General Physics II
• Bài giảng Vật lý đại cương 2
• Galilean relativity
• Luminiferous êther
• Michelson Morley equipment
• Lecture Physics A2
• Bài giảng Vật lý đại cương A2
• Vật lý đại cương A2
• Einstein’s postulates
• Lorentz transformation
• Lorentz velocity transformation
• Bài giảng Vật lý A2
• Einstein’s special relativity
• Reference frame
• Inertial frame
• Twin paradox
• Motion in one dimension
• Principle of relativity
• Periodic motion
• Waves in one dimension
• Transferred thermally
• Genius
• Creative Science
• Postscript
• Christopher Wren
• Natural Selection
• Quantum theory
• semantic consistency
• Special theory
• relativity problem
• Thermodynamics
• potential information
• Newtons laws
• energy
• momentum
• angular momentum
• planetary motion
• 350 unworked exercises
• undergraduate physics
• Current Carrying Wires
• Electromagnetism
• Equivalence Principles
• Quantization Rules
• Cosmic Interactions
• The classical mechanics
• The special theory of relativity
• Hamilton jacobi theory
• Action angle variables
• Canonical perturbation theory
• Hamiltonian formulations for continuous systems
• Notes on classical mechanics for physics
• Elementary mechanics
• Central force motion
• Rotating systems
• Mathematical appendix
• Summary of physical results
• A first course in string theory
• A brief introduction
• Extra dimensions
• Gravitation in various dimensions
• Various dimensions
• Relativistic strings
• Practice of physics
• Energy transferred thermally
• Degradation of energy
• including Newtons laws
• oscillations