1. Introduction and Overview 

1.1 Overview of the objectives and methods of mechanics

1.2 Fundamental postulates in classical dynamics 

2. Motion of Particles 

2.1 Vector definitions of position, velocity and acceleration
2.2 Calculating forces and accelerations using Newton's laws 

2.3 Straight line motion of  particles 
      Examples of straight line motion problems

2.4 Curvilinear motion of particles I: solving problems using a fixed basis
2.5 Angular motion

2.6 Curvilinear motion of particles II: solving problems using a moving basis
      2.6.1 Solving problems using Normal and Tangential Coordinates 
      2.6.2 Examples using Normal and Tangential Coordinates 
      2.6.3 Solving problems using Cylindrical Polar Coordinates 
      2.6.4 Examples using Cylindrical Polar Coordinates

3. Work and Energy Methods for Particles 

3.1 Motivation

3.2 Work and Energy
      3.2.1 Work

      3.2.2 3.2.2 Kinetic Energy
      3.2.3 Work-Energy 3.2.3 Work-Energy Theorem
      3.2.4 Examples using Work-Energy Theorem3.2.4 Examples using Work-Energy Theorem 
      3.2.5 Power

      3.2.6 3.2.6 Potential Energy and Conservative Forces
      3.2.7 Generalized Work-Energy 3.2.7 Generalized Work-Energy Theorem and Conservation of Mechanical Energy
      3.2.8 Examples using Generalized Work-Energy Theorem3.2.8 Examples using Generalized Work-Energy Theorem 

4. Impulse and Momentum

4.1 Impulse
4.2 Momentum

4.3 Impulse-Momentum Relationship 
      4.3.1 Examples

4.4 Impact of Particles Moving along a Straight Line

4.5 Oblique Central Impact

4.6 Angular Momentum and Angular Impulse

4.7 Central Force Motion

4.8 System of Particles

5. Dynamics of Rigid Bodies 

5.1 Kinematics of rigid body motion. 

5.1.1 Preliminaries: Motion relative to translating axes. 

5.1.2 Properties of rigid body motion. 

5.1.3 Governing equations: Velocities and accelerations. 

5.1.4 Application: Fixed axis rotation. 

5.1.5 Application: Rigid bodies in contact. 

5.1.6 Application: General plane motion. 

 

5.2 Dynamics of rigid body motion. 

5.2.1 Overview. 

5.2.2 Preliminaries: Inertial properties of rigid bodies. 

5.2.3 Equations of motion for systems of partices. 

5.2.4 Equations of motion for rigid bodies. 

 

5.3 Work and energy methods for rigid bodies. 

5.3.1 Work done and power expended by forces and couples.

5.3.2 Kinetic Energy of a Rigid Body.

5.3.3 Work-Energy Principle.

6. Vibrations 

6.1 Overview of issues in controlling vibrations 

6.2 Features of a typical vibration response

6.3 Harmonic Oscillations

6.4 Free vibration of a conservative, single degree of freedom, linear spring--mass system 

6.5 Natural Frequencies and Mode Shapes 

6.6 Calculating natural frequencies for 1DOF conservative systems

6.7 Free vibration of a damped, single degree of freedom spring--mass system.

6.8 Using free vibrations to measure properties of a mechanical system

6.9 Forced vibration of damped, single degree of freedom, linear spring mass systems

6.9.1 Equations of motion for forced spring mass systems

6.9.2 Definition of transient and stready state response

6.9.3 Summary of steady state response of forced spring mass systems

6.9.4 Features of steady state response of spring mass systems

6.9.5 Using forced vibrations to measure properties of a system

6.9.6 Example problems in forced vibrations