Syllabus and Lecture Notes

1. Brief introduction to the objectives and methods of dynamics

2. Review of forces and Moments (pdf version) (reading assignment - not covered in lectures

2.1 Forces

2.2 Moments

2.3 Force couples, pure moments and Torques

2.4 Constraint and reaction forces and moments

2.5 Friction forces

3. Analyzing motion of systems of particles (pdf version)

3.1 Equations of motion for a particle

3.2 Calculating forces required to cause prescribed motion of particles

3.3 Solving equations of motion for systems of particles with MATLAB

4. Conservation Laws for Particles (pdf version)

4.1 Work, power, potential energy and kinetic energy relations

4.2 Linear impulse-momentum relations

4.3 Angular impulse-momentum relations

 

SUMMARY SLIDES FOR SECTS 1-4 FOR EXAM REVIEW

 

5. Vibrations (pdf version)

5.1 Features of vibrations and overview of issues in controlling vibrations

5.2 Free vibration of conservative single degree of freedom systems

5.3 Free vibration of damped single degree of freedom systems

5.4 Forced vibration of single degree of freedom systems

5.5 Introduction to vibration of multi-degree of freedom systems (advanced topic - not covered in lecture)

 

Prof Bower's free vibration summary slides (from section) (ppt file)
Prof Bower's forced vibration summary slides (from section) (ppt file)

 

Summary of Solutions to EOM for vibration problems (pdf)

Java SHM simulator (you may need to install or reinstall Java to get this to work - go to www.java.com)

Java free vibration simulator

Java forced vibration simulator

6. Analyzing motion of systems of rigid bodies

6.1 Introduction to Rigid Body Motion

6.2 Describing (two dimensional) rigid body motion

6.3 Equations of motion for a rigid body moving in a plane

6.4 Solving equations of motion for a rigid body

6.5 Energy and Momentum for rigid bodies

6.6 Application to power transmission