Page 14 - Dynamics of Mechanical Systems

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7.3 Moments and Products of Inertia .................................................................................200
7.4 Inertia Dyadics..................................................................................................................203
7.5 Transformation Rules ......................................................................................................205
7.6 Parallel Axis Theorems....................................................................................................206
7.7 Principal Axes, Principal Moments of Inertia: Concepts ..........................................208
7.8 Principal Axes, Principal Moments of Inertia: Example ...........................................211
7.9 Principal Axes, Principal Moments of Inertia: Discussion........................................215
7.10 Maximum and Minimum Moments and Products of Inertia...................................223
7.11 Inertia Ellipsoid ................................................................................................................228
7.12 Application: Inertia Torques...........................................................................................228
References.....................................................................................................................................230
Problems .......................................................................................................................................230
Chapter 8 Principles of Dynamics: Newton’s Laws and d’Alembert’s Principle.........241
8.1 Introduction.......................................................................................................................241
8.2 Principles of Dynamics ...................................................................................................242
8.3 d’Alembert’s Principle.....................................................................................................243
8.4 The Simple Pendulum.....................................................................................................245
8.5 A Smooth Particle Moving Inside a Vertical Rotating Tube.....................................246
8.6 Inertia Forces on a Rigid Body ......................................................................................249
8.7 Projectile Motion ..............................................................................................................251
8.8 A Rotating Circular Disk ................................................................................................253
8.9 The Rod Pendulum..........................................................................................................255
8.10 Double-Rod Pendulum ...................................................................................................258
8.11 The Triple-Rod and N-Rod Pendulums .......................................................................260
8.12 A Rotating Pinned Rod ...................................................................................................263
8.13 The Rolling Circular Disk...............................................................................................267
8.14 Closure ...............................................................................................................................270
References.....................................................................................................................................270
Problems .......................................................................................................................................271

Chapter 9 Principles of Impulse and Momentum..............................................................279
9.1 Introduction.......................................................................................................................279
9.2 Impulse ..............................................................................................................................279
9.3 Linear Momentum ...........................................................................................................280
9.4 Angular Momentum........................................................................................................282
9.5 Principle of Linear Impulse and Momentum..............................................................285
9.6 Principle of Angular Impulse and Momentum ..........................................................288
9.7 Conservation of Momentum Principles .......................................................................294
9.8 Examples............................................................................................................................295
9.9 Additional Examples: Conservation of Momentum..................................................301
9.10 Impact: Coefficient of Restitution..................................................................................303
9.11 Oblique Impact.................................................................................................................306
9.12 Seizure of a Spinning, Diagonally Supported, Square Plate ....................................309
9.13 Closure ...............................................................................................................................310
Problems .......................................................................................................................................311

Chapter 10 Introduction to Energy Methods ......................................................................321
10.1 Introduction.......................................................................................................................321
10.2 Work ...................................................................................................................................321
10.3 Work Done by a Couple .................................................................................................326