Included here are video solutions for a number of example problems that have not yet been included in the course lecturebook.

**Please use the threaded discussion below for your questions regarding this material.**

*PROBLEM STATEMENTS*

Chapter I

Chapter II

Chapter III

Chapter IV

Chapter V

*Chapter I: Deriving EOMs***
**Example A1.1 -Newton

Example A1.2 - Newton

Example A1.3 - Newton

Example A1.6 - gen. coords.

Example A1.7 - Lagrange

Example A1.8 - Lagrange

Example A1.9 - Lagrange

Example A1.10 - Lagrange

Example A1.11 - linearized EOMs

Example A1.12 - flexibility matrix

**Chapter II: Free response of discrete systems**

Example A2.1 - SDOF

Example A2.2 - SDOF

Example A2.3 - SDOF

Example A2.4 - SDOF

Example A2.5 - SDOF

Example A2.6 - SDOF

Example A2.7 - SDOF

Example A2.8 - SDOF

Example A2.9 - SDOF

Example A2.10 - SDOF

Example A2.11 - SDOF

Example A2.12 - SDOF

Example A2.13 - SDOF

Example A2.14 - SDOF

Example A2.15 - SDOF

Example A2.16 - SDOF

Example A2.17 - 2 DOF

Example A2.18 - 3 DOF

Example A2.19 - rigid body mode

Example A2.20 - beating

Example A2.21 - proportionally damped

** Chapter III: Free response of continuous systems**Example A3.1 - rod

Example A3.2 - 2nd order problems

Example A3.3 - shaft

Example A3.4 - bending beam

**Chapter IV: Forced response**

Example A4.1 - SDOF harmonic

Example A4.2 - SDOF harmonic

Example A4.3 - SDOF harmonic

Example A4.4 - SDOF harmonic

Example A4.5 - SDOF harmonic

Example A4.6 - SDOF harmonic

Example A4.7 - SDOF harmonic

Example A4.8 - SDOF harmonic

Example A4.9 - SDOF harmonic

Example A4.10 - SDOF harmonic

Example A4.11 - SDOF harmonic

Example A4.12 - SDOF harmonic

Example A4.13 - SDOF harmonic

Example A4.14 - 2 DOF harmonic

Example A4.15 - 3 DOF harmonic

Example A4.16 - Fourier series

Example A4.17 - convolution integral

Example A4.18 - convolution integral

Example A4.19 - modal uncoupling

Example A4.20 - modal uncoupling

Example A4.21 - modal uncoupling

** Chapter V: Applications and approximate methods**Example A5.1 - vibration isolation

Example A5.2 - vibration absorption

Example A5.3 - approximate natural frequency analysis

Example A5.4 - shock response of multi-DOF system

Example A5.5 - shock response of continuous system