10/22/2014PHY 711 Fall 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
10/22/2014PHY 711 Fall Lecture 242
10/22/2014PHY 711 Fall Lecture 243
10/22/2014PHY 711 Fall Lecture 244
10/22/2014PHY 711 Fall Lecture 245 The physics of rigid body motion; body fixed frame vs inertial frame:
10/22/2014PHY 711 Fall Lecture 246 Comparison of analysis in “inertial frame” versus “non- inertial frame”
10/22/2014PHY 711 Fall Lecture 247 Properties of the frame motion (rotation): dd dd
10/22/2014PHY 711 Fall Lecture 248 Effects on acceleration:
10/22/2014PHY 711 Fall Lecture 249 r
10/22/2014PHY 711 Fall Lecture 2410
10/22/2014PHY 711 Fall Lecture 2411 x z y a c b Example:
10/22/2014PHY 711 Fall Lecture 2412 Properties of moment of inertia tensor: Symmetric matrix real eigenvalues I 1,I 2,I 3 orthogonal eigenvectors
10/22/2014PHY 711 Fall Lecture 2413 Changing origin of rotation x z y a c b z’ y’ x’ R rprp r’ p
10/22/2014PHY 711 Fall Lecture 2414 x z y a c b z’ y’ x’ R rprp r’ p
10/22/2014PHY 711 Fall Lecture 2415 x z y a c b z’ y’ x’ R rprp r’ p
10/22/2014PHY 711 Fall Lecture 2416 Descriptions of rotation about a given origin
10/22/2014PHY 711 Fall Lecture 2417 Descriptions of rotation about a given origin -- continued
10/22/2014PHY 711 Fall Lecture 2418 Descriptions of rotation about a given origin -- continued
10/22/2014PHY 711 Fall Lecture 2419 Descriptions of rotation about a given origin -- continued
10/22/2014PHY 711 Fall Lecture 2420
10/22/2014PHY 711 Fall Lecture 2421 Solution of Euler equations for a symmetric top -- continued
10/22/2014PHY 711 Fall Lecture 2422