# What is the math of this effect?

1. Jun 21, 2011

### baconwitch

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. Jun 21, 2011

### Staff: Mentor

Very cool experiment! I'd be interested in the math as well.

3. Jun 22, 2011

### baconwitch

4. Jun 22, 2011

### BruceW

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.