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FaSt review : Mechanics
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Pages 96
Dimensions 16*23,5
Publication 2025-12-16
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Kinematics 1
1 Rectilinear Motion 1
1.1 Position 1
1.2 Velocity 1
1.3 Acceleration 5
1.4 Identification of Different Phases of Rectilinear Motion 7
1.5 Practical Relation
2 Motion in Space 9
2.1 Position 9
2.2 Velocity 9
2.3 Acceleration 10
3 Study of Motion in Different Coordinate Systems 10
3.1 Cartesian Coordinates 10
3.2 Intrinsic Coordinates 12
3.3 Polar Coordinates 13
3.4 Cylindrical Coordinates 16
3.5 Spherical coordinates
4 Change of reference frame: Relative motion 18
4.1 Relation between positions 19
4.2 Composition of velocities 19
4.3 Composition of accelerations 19
Dynamics 22
1 Concept of Force 22
2 3 Isolated Body 22
Principle of Inertia 22
4 Momentum 22
4.1 Definition . 22
4.2 Momentum of a System of Several Material Points 23
4.3 Conservation of Momentum
5 Newton’s Laws 25
5.1 Newton’s First Law: Principle of Inertia 25
5.2 Newton’s Second Law: Fundamental Principle of Dynamics 25
5.3 Newton’s Third Law: Principle of Action and Reaction 25
6 Force, Momentum and Impulse 25
7 Common Forces 26
7.1 Gravitational Force 26
7.2 Weight 28
7.3 Tension in a Rope 29
7.4 Tension in a spring 29
7.5 Solid Contact Force's 30
7.6 Drag Forces
8 Angular momentum 36
8.1 Definition 36
8.2 Angular momentum theorem 37
Work and Energy 39
1 Work 39
1.1 1.2 Work done by a constant force 39
Work - general case 40
2 Power 42
3 Kinetic Energy 43
3.1 Definition 43
3.2 Kinetic Energy Theorem 43
4 Conservative Forces and Potential Energy 45
4.1 Conservative and Non-Conservative Forces 45
4.2 Potential Energy 46
4.3 Examples of potential 46
5 Mechanical energy 47
5.1 Definition 47
5.2 Theorem of mechanical energy 47
6 Conservative system and motion 48
6.1 Mechanical energy and equations of motion 48
6.2 Equilibrium and Stability of equilibrium 49
6.3 Discussion of energy curves 51
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