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What is the math of this effect?

  1. Jun 21, 2011 #1
    On http://www.gyroscopes.org/1974lecture.asp during segment 8 (from 2:18) an experiment with a gyroscope is conducted.

    This is the clip of just that experiment

    The gyroscope apparently has less mass. Where can I find math to describe this effect? What is this effect called formally?

    Additionally, if this gyroscope were additionally orbiting in a circle with axis parallel to the gyro's axis of rotation, how would the effective centrifugal force of the gyro be calculated?
    Last edited by a moderator: Sep 25, 2014
  2. jcsd
  3. Jun 21, 2011 #2


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    Staff: Mentor

    Very cool experiment! I'd be interested in the math as well.
  4. Jun 22, 2011 #3
  5. Jun 22, 2011 #4


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    Homework Helper

    There's 3 different ways of doing the maths that I know of:
    1) use the rules of torque, angular momentum, etc
    2) simply calculate what happens in a spherical coordinate system (there will be real forces and fictitious forces)
    3) use euler-lagrange equations

    2 and 3 are effectively the same thing, but 3 is probably easier. 1 comes from 2 and 3.
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