Principles of Biomechanics & Motion Analysis

Chapter 1. Scalar Quantities and Vector Quantities in Biomechanics

1.1 Scalars and Vectors
1.2 Addition of Scalars
1.3 Addition of Vectors
1.4 Parallelogram Rule
1.5 Resolution of Vectors into Components
1.6 Unit Vectors I, J, K
1.7 Scalar Products of Two Vectors
1.8 Vector Products of Two Vectors

Chapter 2. Linear Kinematics

2.1 The Law of Inertia
2.2 Methods of Measuring an Objects Speed or Velocity
2.3 Graphical Means of Deriving Velocity
2.4 Equations for Speed and Velocity
2.5 Acceleration as the Slope of V-T Graph
2.6 Frames of Reference
2.7 Projectiles

Chapter 3. Equilibrium

3.1 The Effect of Friction
3.2 Moments of Forces
3.3 Parallel Forces
3.4 Centre of Gravity
3.5 Couples
3.6 Bodies at Rest
3.7 Equilibrium Under the Action of Two Forces
3.8 The Centre of Mass of a Stationary Body
3.9 Equilibrium Under the Action of Three Forces
3.10 Hydrostatics and Flotation

Chapter 4. Motion in a Straight Line (Dynamics I)

4.1 Inertia and Mass
4.2 Force
4.3 Newtons First Law
4.4 Gravitational Forces
4.5 Newtons Second Law
4.6 The Acceleration due to Gravity and Weight
4.7 Newtons Third Law
4.8 Friction
4.9 The Momentum of a Body
4.10 Projectile Motion Taking into Account The Drag Force

Chapter 5. Dynamics

5.1 Work Done by a Constant Force
5.2 Work Done by a Variable Force
5.3 Kinetic Energy
5.4 Gravitational Potential Energy
5.5 Conservation of Energy
5.6 Power
5.7 Impulsive Forces
5.8 Collisions in One Dimension
5.9 Conservation of Momentum
5.10 Elastic and Inelastic Collisions
5.11 Springs and Hookes Law
5.12 Oscillatory Motion

Chapter 6. Motion in a Circle (Angular Kinetics)

6.1 Angular Displacement, Velocity, and Acceleration
6.2 Absolute Angles and Relative Angles
6.3 Calculation of Angular Information from (X, Y) Coordinate Data
6.4 Important Equations in Angular Kinematics

Chapter 7. Angular Dynamics

7.1 Angular Motion Vectors
7.2 Torque
7.3 Rotational Inertia
7.4 Easy Ways to Find the Moment of Inertia
7.5 Angular Momentum
7.6 Angular Kinetic Energy

Chapter 8. Calculations Using Text or ASCII Files

8.1 Text Files
8.2 Coordinate-Time Data
8.3 Obtaining Velocities and Accelerations
8.4 Noise and Smoothing

Chapter 9. Mechanical Analyses

9.1 The Camera System
9.2 Force Plates and Additional Sensors
9.3 Standing Long Jump
9.4 High Jump
9.5 Running

Chapter 10. Analysis of Specialized Movement Patterns Using Vicon

10.1 Golf
10.2 Gymnastics
10.3 Football