Not the classic coupled oscillators

[NirHUJI]

I have a system of a rod hanging on a single point, that can oscilate 360 degrees. Attached to it's lower end is a rotating disc. As you release the pendulum with a starting angle of some kind, the system oscilates. Can anyone help me analize the frequencies related to this motion?

Thanks!

 

[BvU]

Hello NirHUJI,

You mean like a gyroscope ? Fat books have been written on that. Not trivial at all.

 

[NirHUJI]

I've attached a 2D drawing of the system, notice it has the possibily to move all around. The path it takes should be related to gyroscopic precession and the frequency of the physical pendulum. All help we will appreciated:)

 

[BvU]

Well, plenty of info under 'http://web.mit.edu/8.01t/www/materials/modules/guide16.pdf', 'gyroscope physics' or 'gyroscopic precession derivation'