Gyroscope behaviour during 24 hours on earth

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A precision gyroscope, when perfectly balanced and spinning, will maintain its orientation while its holder moves with the Earth's rotation, resulting in perceived relative motion between the two. This motion is influenced by the Earth's axial tilt and latitude, meaning that at latitudes less than 90 degrees, the gyroscope's holder will exhibit movement in relation to an arbitrary reference frame. The gyroscope's disk remains stable in its orientation, while the holder's motion varies based on its alignment with the Earth's rotation axis. The discussion emphasizes that the perceived motion of the holder is not uniform across all three axes, as it depends on the specific orientation of the gyroscope. Overall, the interaction between the gyroscope and its holder illustrates the principles of rotational dynamics in relation to Earth's movement.
aladinlamp
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Hi

is my assumption correct ?

precision gyroscope,sitting on the table during 24 hours, perfectly balanced, with free motion in all 3 axis, while still spinning using electric drive or compressed air to maintain motion...

there should be relative motion between gyro and its stationary holder in all 3 axis( assuming I am not at the poles) but at some latitude less than 90.

gyro disk should keep orientation and holder will move with earth, but from my reference frame i will see holder stationary and gyro disk will move

gyro-5-638.jpg
AxialTiltObliquity.png
Effect-of-earth-rotation-on-Gyro-at-Equator.png
 
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Right.

Not necessarily a motion in all 3 axes, it depends on the orientation of the axes relative to the rotation axis of Earth.
 
i think because of tilted Earth axis, except poles, the point on the sphere surface( gyro holder) has to move in all 3 axis
 
Tilt relative to an arbitrary reference frame?
You can consider everything from the reference frame of Earth, aligned with the axis of rotation.
 

Thread 'Reference frames, center of rotation, etc'

Topic about reference frames, center of rotation, postion of origin etc Comoving ref. frame is frame that is attached to moving object, does that mean, in that frame translation and rotation of object is zero, because origin and axes(x,y,z) are fixed to object? Is it same if you place origin of frame at object center of mass or at object tail? What type of comoving frame exist? What is lab frame? If we talk about center of rotation do we always need to specified from what frame we observe?
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