1. 10/22/2014PHY 711 Fall 2014 -- Lecture 241 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 24: Rotational motion (Chapter 5) 1.Rigid body motion 2.Moment of inertia tensor

2. 10/22/2014PHY 711 Fall 2014 -- Lecture 242

3. 10/22/2014PHY 711 Fall 2014 -- Lecture 243

4. 10/22/2014PHY 711 Fall 2014 -- Lecture 244

5. 10/22/2014PHY 711 Fall 2014 -- Lecture 245 The physics of rigid body motion; body fixed frame vs inertial frame:

6. 10/22/2014PHY 711 Fall 2014 -- Lecture 246 Comparison of analysis in “inertial frame” versus “non- inertial frame”

7. 10/22/2014PHY 711 Fall 2014 -- Lecture 247 Properties of the frame motion (rotation): dd dd

8. 10/22/2014PHY 711 Fall 2014 -- Lecture 248 Effects on acceleration:

9. 10/22/2014PHY 711 Fall 2014 -- Lecture 249 r 

10. 10/22/2014PHY 711 Fall 2014 -- Lecture 2410

11. 10/22/2014PHY 711 Fall 2014 -- Lecture 2411 x z y a c b Example:

12. 10/22/2014PHY 711 Fall 2014 -- Lecture 2412 Properties of moment of inertia tensor:  Symmetric matrix  real eigenvalues I 1,I 2,I 3   orthogonal eigenvectors

13. 10/22/2014PHY 711 Fall 2014 -- Lecture 2413 Changing origin of rotation x z y a c b z’ y’ x’ R rprp r’ p

14. 10/22/2014PHY 711 Fall 2014 -- Lecture 2414 x z y a c b z’ y’ x’ R rprp r’ p

15. 10/22/2014PHY 711 Fall 2014 -- Lecture 2415 x z y a c b z’ y’ x’ R rprp r’ p

16. 10/22/2014PHY 711 Fall 2014 -- Lecture 2416 Descriptions of rotation about a given origin

17. 10/22/2014PHY 711 Fall 2014 -- Lecture 2417 Descriptions of rotation about a given origin -- continued

18. 10/22/2014PHY 711 Fall 2014 -- Lecture 2418 Descriptions of rotation about a given origin -- continued

19. 10/22/2014PHY 711 Fall 2014 -- Lecture 2419 Descriptions of rotation about a given origin -- continued

20. 10/22/2014PHY 711 Fall 2014 -- Lecture 2420

21. 10/22/2014PHY 711 Fall 2014 -- Lecture 2421 Solution of Euler equations for a symmetric top -- continued

22. 10/22/2014PHY 711 Fall 2014 -- Lecture 2422