Saturday, November 29, 2014

Review and Summary



Final Exam schedule:
 
Tu/Th class → Final Thurs Dec 11th 12:30-2:20
Wed class → Final Wed Dec 10th 5:30-7:20
 
 
 
Chapter 8: Friction


Practice Problems














Chapter 9: Moments of Inertia

 






Why do solid cylinders roll down an incline faster than hollow cylinders?
http://en.wikipedia.org/wiki/List_of_moments_of_inertia



https://www.youtube.com/watch?v=9e9ysnJA9qA
Practice Problems:
Use Mathematica!




Thursday, November 27, 2014

9.11-9.15

9.11 Moment of Inertia of a Mass






9.12 Parallel Axis Theorem




9.13 Moments of Inertia of Thin Plates




9.14 3D bodies 


9.15  Composite Bodies



9.112, 9.120, 9.136, 9.141











9.6-9.7

Moment of Inertia Examples

The Parallel-Axis Theorem


You will see this again in dynamics!

Lecture 19 Rotating Rigid Bodies Moment of Inertia



9.6 Parallel-Axis Theorem






9.7 Moments of Inertia of Composite Areas





9.6 – 9.7 HW/Examples:         9.32, 9.34, 9.41, 9.42, 9.50, 9.51



 











Friday, November 21, 2014

9.1-9.5

Statics Lecture 32: Mass Moment of Inertia and Area Moment of Inertia



Chapter 9:  Remember back to centroids? (Chapt 5)  This will be similar. 


 I'll let you use Mathematica on the test, this will be a good review of Mathematica!





9.2 Second Moment, or 

Moment of Inertia of an Area


 Example:

Use Mathematica!


Open Mathematica up, and try a few:


HW: 9.1, 9.3







9.4 Polar Moment of Inertia






9.5 Radius of Gyration of an Area





Area between two lines:





HW: 9.15



Polar Moment of Inertia:







HW: 9.28