Particles in Motion

Method of Lumped Masses and Jumping, Sit-Ups, Push-Ups . . . . 56

3.1 Introduction 56

3.2 Conservation of Linear Momentum 57

3.3 Center of Mass and Its Motion 58

3.4 Multiplication of Vectors 64

3.5 Moment of a Force 67

3.6 Moment of Momentum About a Stationary Point 70

3.7 Moment of Momentum About the Center of Mass 77

3.8 Summary 78

3.9 Problems 79

Chapter 4 Bodies in Planar Motion

Jumping, Diving, Push-Ups, Back Curls 84

4.1 Introduction 84

4.2 Planar Motion of a Slender Rod 85

4.3 Angular Velocity 88

4.4 Angular Acceleration 94

4.5 Angular Momentum 97

4.6 Conservation of Angular Momentum 100

4.7 Applications to Human Body Dynamics 103

4.8 Instantaneous Center of Rotation 109

4.9 Summary 111

4.10 Problems 112

Chapter 5 Statics

Tug-of-War, Weight Lifting, Trusses, Cables, Beams 117

5.1 Introduction 117

5.2 Equations of Static Equilibrium 117

5.3 Contact Forces in Static Equilibrium 121

5.4 Structural Stability and Redundance 127

5.5 Structures and Internal Forces 135

5.6 Distributed Forces 144

5.7 Summary 146

5.8 Problems 146

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Getting Started With Dumbbells

Getting Started With Dumbbells

The use of dumbbells gives you a much more comprehensive strengthening effect because the workout engages your stabilizer muscles, in addition to the muscle you may be pin-pointing. Without all of the belts and artificial stabilizers of a machine, you also engage your core muscles, which are your body's natural stabilizers.

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