Contents
Introduction ix
Chapter 1. Newton Laws of Motion 1
A review of Newton's laws of motion; the origin of forces; laws of conservation of linear momentum, of angular momentum, and of energy in an isolated system; interactions involving torques or moment of forces; Newton's three laws of motion (generalized).
Chapter 2. Variable Mass Systems 19
The basic law of dynamics as applied to a variable mass system; the problem of the rocket; Encke's comet; the conveyor belt and its hopper; a few other examples ad conclusion.
Chapter 3. Inertial Forces 37
Inertial forces;Kinematic explanation; centrifugal force: imaginary or real? inertial forces, forces of interactions between moving bodies; Einstein's equivalence principle; objects falling in a moving elevator; the Coriolis force: easterly deflection of an object falling freely towards the surface of the earth.
Chapter 4.Newton Third Law (generalized) 54
The generalized law of equal action and reaction; point charge-electric dipole and dipole-dipole interactions; magnetic interaction: magnetic force; precession of the equinoxes; electromagnetic interactions between the moving charged particles; conclusion.
Chapter 5. Newton and Relativity 71
Simplified description ofspecial relativity; Newtonian laws and relativity; the mass-enegy equivalence; the gravitational mass of photons; the deflection of photons by the sun; use of the theory of relativity to calculate the perihelion advance of certain planets; calculating advance of perihelion using Newton's second law; the secular perihelion advance of the planets; theories and experimental evidence; the dilation of time; conclusion.
Chapter 6. Some Applications 92
- Theorem of angular momentum applicable to a variable mass solid; - the dipole point charge electrostatic interaction; - theorem of energy applicable to the rocket; - the secular slowing down of the earth as it rotates on its polar axis.
Conclusion 104
References 107