Physics 321
Sponsored Links
This presentation is the property of its rightful owner.
1 / 9

Physics 321 PowerPoint PPT Presentation


  • 44 Views
  • Uploaded on
  • Presentation posted in: General

Physics 321. Hour 24 Accelerating Reference Frames I. Consider an accelerating train car. Glass of water in a car Tides. Examples. Euler’s Theorem Any tiny rotation can be considered as a rotation about a fixed axis.

Download Presentation

Physics 321

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Physics 321

Hour 24

Accelerating Reference Frames I


Consider an accelerating train car


  • Glass of water in a car

  • Tides

Examples


  • Euler’s Theorem

  • Any tiny rotation can be considered as a rotation about a fixed axis.

  • (Complex rotations can be taken to be a series of infinitesimal rotations.)

  • Tiny rotations commute.

  • (Larger rotations do not commute.)

Two Angular Momentum Theorems


Proof


Proof


Any unit vector can be written as

In general

where S0 is the lab (inertial) frame and S’ is a frame rotating with angular velocity .

Proof


  • Angular velocity vector (r.h.r.)

  • Let be a unit vector fixed in a body

  • In particular

  • In general

Angular Velocity


Begin Handout


  • Login