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Solving Dynamics Problems in Mathcad 15

Title
Solving Dynamics Problems in Mathcad
Number of  Page
142 page
File Type
PDF
File Size
2 MB

Chapter 1 An Introduction to Mathcad 7
Numerical Calculations 7
Variables and Functions 9
Graphics 11
Symbolic Math 17
Vector Algebra 20
Differentiation and Integration 23
Solving Equations 26

Chapter 2 Kinematics of Particles 33
2.1 Sample Problem 2/4 (Rectilinear Motion) 34
2.2 Problem 2/87 (Rectangular Coordinates) 37
2.3 Problem 2/120 (n-t Coordinates) 42
2.4 Sample Problem 2/9 (Polar Coordinates) 44
2.5 Sample Problem 2/10 (Polar Coordinates) 48
2.6 Problem 2/183 (Space Curvilinear Motion) 51
2.7 Sample Problem 2/16 (Constrained Motion of Connected Particles) 54

Chapter 3 Kinetics of Particles 57
3.1 Sample Problem 3/3 (Rectilinear Motion) 58
3.2 Problem 3/98 (Curvilinear Motion) 61
3.3 Sample Problem 3/17 (Potential Energy) 64
3.4 Problem 3/218 (Linear Impulse/Momentum) 66
3.5 Problem 3/250 (Angular Impulse/Momentum) 68
3.6 Problem 3/365 (Curvilinear Motion) 70

Chapter 4 Kinetics of Systems of Particles 73
4.1 Problem 4/26 (Conservation of Momentum) 74
4.2 Problem 4/62 (Steady Mass Flow) 77
4.3 Problem 4/86 (Variable Mass) 79


Chapter 5 Plane Kinematics of Rigid Bodies 83
5.1 Problem 5/3 (Rotation) 84
5.2 Problem 5/44 (Absolute Motion) 89
5.3 Sample Problem 5/9 (Relative Velocity) 92
5.4 Problem 5/108 (Instantaneous Center) 95
5.5 Problem 5/123 (Relative Acceleration) 97
5.6 Sample Problem 5/15 (Absolute Motion) 99

Chapter 6 Plane Kinetics of Rigid Bodies 105
6.1 Sample Problem 6/2 (Translation) 106
6.2 Sample Problem 6/4 (Fixed-Axis Rotation) 112
6.3 Problem 6/98 (General Plane Motion) 114
6.4 Problem 6/104 (General Plane Motion) 117
6.5 Sample Problem 6/10 (Work and Energy) 119
6.6 Problem 6/206 (Impulse/Momentum) 124

Chapter 7 Introduction to Three-Dimensional Dynamics of Rigid Bodies 127
7.1 Sample Problem 7/3 (General Motion) 128
7.2 Sample Problem 7/6 (Kinetic Energy) 131

Chapter 8 Vibration and Time Response 135
8.1 Sample Problem 8/2 (Free Vibration of Particles) 136
8.2 Problem 8/139 (Damped Free Vibrations) 138
8.3 Sample Problem 8/6 (Forced Vibration of Particles) 141


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