Understanding Precession, Nutation, and Spin in Rotating Objects

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The discussion focuses on understanding the dynamics of a spinning cylinder undergoing precession and nutation. The user seeks clarification on the relationship between angular velocities, proposing that the total angular velocity can be expressed as ω = √(ω²P + ω²N). They also inquire about the effects of precession and nutation on a sensor's readings, speculating that the centripetal acceleration experienced would involve a time-dependent radius. The conversation emphasizes the complexities of motion in rotating systems and the need for precise calculations to account for changing parameters. Overall, the user is exploring the intricacies of rotational dynamics and sensor behavior in such scenarios.
Bobster
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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 ωP and ωN,

am I right in thinking ω = √ω2P+ω2N ?

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 ?
 
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