Titre :	Physics 1:Particle mechanics
Type de document :	texte imprimé
Auteurs :	Mebarek Boukelkoul
Année de publication :	2022
Importance :	1 vol (103 p .)
Format :	29 cm
Langues :	Français (fre)
Catégories :	Publications pédagogiques:Physique P/P
Note de contenu :	Contents CHAPTER 1 : MATHEMATICAL REMINDER A. UNITS AND DIMENSIONAL ANALYSIS Introduction .................................................................................................................................. 1 Dimension of a Physical Quantity .......................................................................................... 1 International system of units (SI) ......................................................................................... 1 Fundamental (Base) Quantities ............................................................................................. 2 Derived Quantities ...................................................................................................................... 2 cgs Measurement System ......................................................................................................... 3 Dimensional Equation ............................................................................................................... 3 Uses of Dimensional Equations .............................................................................................. 3 Dimensional Analysis Rules .................................................................................................... 3 B. VECTORS Vector and Scalar Quantities ................................................................................................... 6 Vector Quantities ..................................................................................................................... 6 Scalar Quantities ..................................................................................................................... 6 Vector Representation .............................................................................................................. 6 Unit Vector ..................................................................................................................................... 7 Vector Operations ....................................................................................................................... 8 Vector Addition ........................................................................................................................ 8 Chasles Relation ………………………………………………………………………………………………………..9 Vector Subtraction .................................................................................................................. 9 Scalar Multiple…………………………………………………………………………………………………………10 Vector Product………………………………………………………………………………………………………………….10 Dot Product (Scalar Product)...………………………………………………………………………………..10 Cross Product (Vectorial Product)….………………………………………………………………………..11 Mixed Product………………………...………………………………………………………………………………..13 Application .................................................................................................................................. 14 C. ERRORS AND UNCERTAINTIES Introduction ................................................................................................................................ 15 Error Definition ......................................................................................................................... 15 Uncertainty .................................................................................................................................. 16 Absolute uncertainty ............................................................................................................... 16 Significant figures ..................................................................................................................... 17 Relative uncertainty ................................................................................................................. 17 Uncertainty Calculations ........................................................................................................ 18 ii CHAPTER 2: PARTICLE KINEMATICS Introduction…………………………………………………………………………………………………….20 General Definitions ................................................................................................................... 20 Kinematics ............................................................................................................................... 20 Point Particle .......................................................................................................................... 21 Frame of Reference ............................................................................................................... 21 Usual reference frames ....................................................................................................... 21 Motion Characteristics ............................................................................................................ 22 Time Equations ...................................................................................................................... 22 Path (Trajectory) ................................................................................................................... 23 Position Vector ....................................................................................................................... 23 Velocity ..................................................................................................................................... 24 Acceleration Vector .............................................................................................................. 25 Motion Characteristics in different Coordinate Systems Polar Coordinates ................................................................................................................. 29 Cylindrical Coordinates ...................................................................................................... 32 Spherical Coordinates ......................................................................................................... 34 Intrinsic (Curvilinear) Coordonates ............................................................................... 39 II.5 Types of Motion ............................................................................................................. 44 Rectilinear Motion ................................................................................................................ 44 Simple Harmonic Rectilinear Motion ............................................................................. 44 Circular Motion ...................................................................................................................... 45 Motion with Central Acceleration ................................................................................... 46 Erratic Motion ........................................................................................................................ 47 Relative Motion Introduction ................................................................................................................................ 50 Composition of motions .......................................................................................................... 50 Position Vectors Composition .............................................................................................. 52 Velocity Vectors Composition ............................................................................................... 52 Special Cases ............................................................................................................................... 52 R’ in Translation Motion with respect to R ................................................................... 53 R’ in Rotation with respect to R ........................................................................................ 53 R’ in a Random Motion with respect to R ...................................................................... 53 Acceleration Vectors Composition ...................................................................................... 53 Examples ...................................................................................................................................... 55 iii HAPTER 3: PARTICLE DYNAMICS Introduction ................................................................................................................................ 61 Definitions ................................................................................................................................... 61 Momentum .................................................................................................................................. 63 III.4 Principle (law) of Conservation of Momentum .................................................. 64 Principles of Dynamics ............................................................................................................ 64 Principle of Inertia ................................................................................................................ 64 Newton’s Second Law of Motion ....................................................................................... 65 Action‐Reaction Principle: Newton's Third Law ........................................................ 65 Force of Gravity ...................................................................................................................... 66 Motion of Projectile .................................................................................................................. 67 Contact Forces ............................................................................................................................ 69 Support Reaction ................................................................................................................... 69 Frictional Forces .................................................................................................................... 70 Viscous Friction Force ......................................................................................................... 74 Elastic Force ............................................................................................................................ 74 Inertial Force .......................................................................................................................... 74 Angular Momentum and Torque ......................................................................................... 76 Angular Momentum Theorem .............................................................................................. 78 Central Forces ............................................................................................................................. 79 Applications ................................................................................................................................ 81 CHAPTER 4 : WORK AND ENERGY IV.2 WORK Introduction ................................................................................................................................ 85 Work of Constant Force on a Rectilinear Displacement .............................................. 85 Work of a Variable Force on an Arbitrary Displace ...................................................... 86 Elementary Work .................................................................................................................. 86 Examples of Work Calculation .............................................................................................. 85 Work of a Constant Force: Weight of an Object .......................................................... 87 Work of a Variable Force: Elastic Force ............................................................................ 88 Power............................................................................................................................................. 89
Côte titre :	pph/0026-0030

Physics 1:Particle mechanics [texte imprimé] / Mebarek Boukelkoul . - 2022 . - 1 vol (103 p .) ; 29 cm.
Langues : Français (fre)

Catégories :	Publications pédagogiques:Physique P/P
Note de contenu :	Contents CHAPTER 1 : MATHEMATICAL REMINDER A. UNITS AND DIMENSIONAL ANALYSIS Introduction .................................................................................................................................. 1 Dimension of a Physical Quantity .......................................................................................... 1 International system of units (SI) ......................................................................................... 1 Fundamental (Base) Quantities ............................................................................................. 2 Derived Quantities ...................................................................................................................... 2 cgs Measurement System ......................................................................................................... 3 Dimensional Equation ............................................................................................................... 3 Uses of Dimensional Equations .............................................................................................. 3 Dimensional Analysis Rules .................................................................................................... 3 B. VECTORS Vector and Scalar Quantities ................................................................................................... 6 Vector Quantities ..................................................................................................................... 6 Scalar Quantities ..................................................................................................................... 6 Vector Representation .............................................................................................................. 6 Unit Vector ..................................................................................................................................... 7 Vector Operations ....................................................................................................................... 8 Vector Addition ........................................................................................................................ 8 Chasles Relation ………………………………………………………………………………………………………..9 Vector Subtraction .................................................................................................................. 9 Scalar Multiple…………………………………………………………………………………………………………10 Vector Product………………………………………………………………………………………………………………….10 Dot Product (Scalar Product)...………………………………………………………………………………..10 Cross Product (Vectorial Product)….………………………………………………………………………..11 Mixed Product………………………...………………………………………………………………………………..13 Application .................................................................................................................................. 14 C. ERRORS AND UNCERTAINTIES Introduction ................................................................................................................................ 15 Error Definition ......................................................................................................................... 15 Uncertainty .................................................................................................................................. 16 Absolute uncertainty ............................................................................................................... 16 Significant figures ..................................................................................................................... 17 Relative uncertainty ................................................................................................................. 17 Uncertainty Calculations ........................................................................................................ 18 ii CHAPTER 2: PARTICLE KINEMATICS Introduction…………………………………………………………………………………………………….20 General Definitions ................................................................................................................... 20 Kinematics ............................................................................................................................... 20 Point Particle .......................................................................................................................... 21 Frame of Reference ............................................................................................................... 21 Usual reference frames ....................................................................................................... 21 Motion Characteristics ............................................................................................................ 22 Time Equations ...................................................................................................................... 22 Path (Trajectory) ................................................................................................................... 23 Position Vector ....................................................................................................................... 23 Velocity ..................................................................................................................................... 24 Acceleration Vector .............................................................................................................. 25 Motion Characteristics in different Coordinate Systems Polar Coordinates ................................................................................................................. 29 Cylindrical Coordinates ...................................................................................................... 32 Spherical Coordinates ......................................................................................................... 34 Intrinsic (Curvilinear) Coordonates ............................................................................... 39 II.5 Types of Motion ............................................................................................................. 44 Rectilinear Motion ................................................................................................................ 44 Simple Harmonic Rectilinear Motion ............................................................................. 44 Circular Motion ...................................................................................................................... 45 Motion with Central Acceleration ................................................................................... 46 Erratic Motion ........................................................................................................................ 47 Relative Motion Introduction ................................................................................................................................ 50 Composition of motions .......................................................................................................... 50 Position Vectors Composition .............................................................................................. 52 Velocity Vectors Composition ............................................................................................... 52 Special Cases ............................................................................................................................... 52 R’ in Translation Motion with respect to R ................................................................... 53 R’ in Rotation with respect to R ........................................................................................ 53 R’ in a Random Motion with respect to R ...................................................................... 53 Acceleration Vectors Composition ...................................................................................... 53 Examples ...................................................................................................................................... 55 iii HAPTER 3: PARTICLE DYNAMICS Introduction ................................................................................................................................ 61 Definitions ................................................................................................................................... 61 Momentum .................................................................................................................................. 63 III.4 Principle (law) of Conservation of Momentum .................................................. 64 Principles of Dynamics ............................................................................................................ 64 Principle of Inertia ................................................................................................................ 64 Newton’s Second Law of Motion ....................................................................................... 65 Action‐Reaction Principle: Newton's Third Law ........................................................ 65 Force of Gravity ...................................................................................................................... 66 Motion of Projectile .................................................................................................................. 67 Contact Forces ............................................................................................................................ 69 Support Reaction ................................................................................................................... 69 Frictional Forces .................................................................................................................... 70 Viscous Friction Force ......................................................................................................... 74 Elastic Force ............................................................................................................................ 74 Inertial Force .......................................................................................................................... 74 Angular Momentum and Torque ......................................................................................... 76 Angular Momentum Theorem .............................................................................................. 78 Central Forces ............................................................................................................................. 79 Applications ................................................................................................................................ 81 CHAPTER 4 : WORK AND ENERGY IV.2 WORK Introduction ................................................................................................................................ 85 Work of Constant Force on a Rectilinear Displacement .............................................. 85 Work of a Variable Force on an Arbitrary Displace ...................................................... 86 Elementary Work .................................................................................................................. 86 Examples of Work Calculation .............................................................................................. 85 Work of a Constant Force: Weight of an Object .......................................................... 87 Work of a Variable Force: Elastic Force ............................................................................ 88 Power............................................................................................................................................. 89
Côte titre :	pph/0026-0030