Contents

Introductionix

Chapter 1.Newton Laws of Motion1A 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 Systems19The 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 Forces37Inertial 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)54The 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 Relativity71Simplified 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 Applications92- 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

References107