Understanding Precession, Nutation, and Spin in Rotating Objects

[Bobster]

Hi guys !

Im trying to get my head round precession, nutation and spin.

Suppose I have a cylinder of height L, base radius R. Initially it is just spinning about its central axis (i.e. line joining cone tip to the centre of base). In this scenario,

centripetal acceleration experienced by say an accelerometer placed on the radius of the base would be = Rω².

However when it starts spinning and nutating with angular velocities say ω_P and ω_N,

am I right in thinking ω = √ω²_P+ω²_N ?

And also, what would my sensor 'experience' now that it is nutating and precessing ? I am guessing it would be a Rω² sin term but this time 'R' would be a time dependent function and not constant. What do you think ?

 

[Bobster]

Any ideas ?