Rotating disk and its dynamical parameters

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A rotating disk with its plane perpendicular to the z-axis presents unique dynamics when a particle is sent upward along the z-axis. Key considerations include the Coriolis effect and centripetal forces, which influence the particle's trajectory in both gravitational and non-gravitational scenarios. The discussion suggests that analyzing the situation using free body diagrams could clarify the forces at play, particularly in rotating frames. It is also noted that calculations can be simplified by using an inertial frame and transforming results afterward. Understanding these dynamics is crucial for accurately predicting the particle's behavior in relation to the rotating disk.
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.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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