Rotating disk and its dynamical parameters

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Discussion Overview

The discussion revolves around the dynamics of a rotating disk and the effects experienced by a particle sent upward along the z-axis from the disk's plane. Participants explore the qualitative aspects of this scenario, considering both the influence of gravity and the implications of rotating frames.

Discussion Character

  • Exploratory, Conceptual clarification, Technical explanation

Main Points Raised

  • One participant questions the effects on a particle moving upward from a rotating disk, considering the roles of the Coriolis effect and centripetal acceleration, particularly in the presence or absence of gravity.
  • Another participant suggests examining free body diagrams for various cases, indicating that the particle's acceleration would include Coriolis and centrifugal components.
  • A different viewpoint proposes that it is not necessary to work within a rotating frame, suggesting that calculations could be performed in an inertial frame and transformed later, which may simplify the analysis.

Areas of Agreement / Disagreement

The discussion features multiple competing views regarding the best approach to analyze the problem, with no consensus reached on the necessity of rotating frames versus inertial frames.

Contextual Notes

Participants have not fully explored the implications of free body diagrams in rotating frames, and there are unresolved considerations regarding the effects of gravity on the dynamics involved.

James F
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Hey all,

I have a question that I am trying to figure out. It is more qualitative than anything, but I am concerned with the concepts that are involved in a scenario like this.

Suppose we have a rotating disk with the plane of the disk perpendicular to the z-axis. Now we send a particle upward in the z-axis direction away from the plane of the disk. What would the particle experience and effect? We should consider situations with and without gravity.

I first thought rotating frames so the Coriolis effect, but then also considered centripetal. How would the effect of gravity change either one of these component, and for that matter how would gravity change the situation at all?

Thanks for any response!
 
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"Completed masters" in what field?

Have you looked at the "free body diagrams" for the various cases?
 
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Bystander said:
"Completed masters" in what field?

Have you looked at the "free body diagrams" for the various cases?

For free body diagrams I have not considered them for the rotating frames, but I would assume the acceleration would take on Coriolis and centrifugal components.
 
You don't have to work in a rotating frame at all. It's possible to do everything in a standard inertial frame and then transform the results at the end. Depending on what you want to do, this might be the easiest way to go about it.
 

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