Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!


  1. Jul 24, 2005 #1
    For any of you advanced dynamics people, can you please show me a derivation of the BKE. (Basic Kinematic Equation)

    The BKE is.....

    e d/dt(Vector) = u d/dt(Vector) + omega between e and u X (Vector)

    sometimes an additional term is added which is the linear velocity between the frames but for some simplicity lets assume this is zero.

    e is the inertial frame
    and u is the working frame

    omega is the angular velocity
    X is the cross product operator

    I know just by looking at a simple single rotation problem, the solution is trivial but does anyone know of a formal proof?
  2. jcsd
  3. Jul 24, 2005 #2


    User Avatar
    Science Advisor

    I do, but I think it will take me a month of Sundays to write here. Let me see if I can scan in my old dynamics notes from school. Give me a bit!
  4. Jul 24, 2005 #3
    Thanks, take your time, I'm in no rush!
  5. Jul 24, 2005 #4


    User Avatar
    Science Advisor

    Here we go. I had to scan it in from my Dynamics class notes. The pdf is a bit rough on the quality side. If you can't read it, let me know and I'll e-mail you the scan.
    Last edited: Mar 11, 2006
  6. Jul 25, 2005 #5
    thanks alot! This works perfectly. I actually found a more geometrical way to prove it with the few extra hours i had to spare today. Unfortunately, I don't have a scanner to show anyone to ensure correctness. Perhaps when I get back to school I can scan it in and have someone verify that my method is correct. Thanks again!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook