ix
Contents
Preface ............................................................ . . . . . . . . . xi
Acknowledgments .................................................. . . . . . . . . xiii
1 Topic AK-1 ........................................................ . . . . . . . . . 1
1.1 Application of the Linear Momentum Principle to Determine the Velocity of Particles 1
1.2 Sample Problem ............................................................. 2
1.3 Solution ................................................................... 2
2 Topic AK-2 ........................................................ . . . . . . . . . .9
2.1 Application of the the Linear Momentum Principle and Motion of the Mass Center of a
System of Particles .......................................................... 9
2.2 Sample Problem ............................................................ 24
2.3 Solution .................................................................. 25
3 Topic AK-3 ........................................................ . . . . . . . . 37
3.1 Application of the Angular Momentum Principle to Determine the Angular Velocity
of the System of Particles ................................................... 37
3.2 Sample Problem ............................................................ 60
3.3 Solution .................................................................. 60
4 Topic AK-4 ........................................................ . . . . . . . . 65
4.1 Determination of Velocity and Acceleration of Particles by Given Equations of
Motion ................................................................... 65
4.2 Sample Problem ............................................................ 66
4.3 Solution .................................................................. 66
5 Topic AK-5 ........................................................ . . . . . . . . 69
5.1 Dierential Equations of Motion of a Rigid Body: Rotational Motion of a Rigid
Body ..................................................................... 69
5.2 Sample Problem ............................................................ 85
5.3 Solution .................................................................. 86
6 Topic AK-6 ........................................................ . . . . . . . . 91
6.1 Study of Impact Dynamics between Rigid Bodies ................................. 91
6.2 Sample Problem ........................................................... 117
6.3 Solution ................................................................. 118
7 Topic AK-7 ........................................................ . . . . . . . . 129
7.1 Application of the Virtual Displacements Principle to Problems on Balanced Forces
Applied to a Mechanical System with One Degree of Freedom . . . . . . . . . . . . . . . . . . . . . . 129
7.2 Sample Problem ........................................................... 146
7.3 Solution ................................................................. 146
8 Topic AK-8 ........................................................ . . . . . . . . 149
8.1 Projectile Motion Analyses with Quadratic Air Resistance . . . . . . . . . . . . . . . . . . . . . . . . . . 149
8.2 Sample Problem ........................................................... 150
Author Biography ................................................... . . . . . . . . 161
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