Centripetal force and Coriolis force?

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SUMMARY

The discussion focuses on the simulation of an object's motion from the perspective of an observer on a rotating platform, characterized by frequency ω and radius r. The object experiences centripetal acceleration, quantified as F = m * ω² * r, which is a pseudo force due to the observer's rotating frame of reference. The nature of the observed force is complex, involving both centrifugal and Coriolis effects, depending on the observer's motion relative to the rotation axis. The apparent path of the object will be a cycloid in a non-rotating frame and a double spiral in the rotating frame.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula F = m * ω² * r
  • Familiarity with the concepts of centrifugal and Coriolis forces
  • Basic knowledge of MATLAB or Mathematica for animation creation
  • Conceptual grasp of reference frames in rotational motion
NEXT STEPS
  • Research how to create animations in MATLAB or Mathematica for dynamic simulations
  • Learn about the mathematical derivation of cycloidal paths in non-rotating frames
  • Explore the differences between centrifugal and Coriolis forces in rotating systems
  • Investigate the implications of reference frame orientation on perceived motion
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Students in physics, educators teaching mechanics, and developers interested in simulating rotational dynamics using MATLAB or Mathematica.

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Homework Statement



Suppose that you are on a rotating platform, going around with frequency w a distance
r from the center. Suppose that you are watching an object that moves in a straight line.
Produce an animation that shows the position of the object from your perspective. Does
this object seem to be experiencing a force?

Please answer with animation and MATLAB OR MATHEMETICA source code?!??

Note: I have an idea of what's happening but how would I go about creating this simulation?
Is my attempt right? Is it the Coriolis effect?

The Attempt at a Solution



yes this object will experience a force = m* w^2 *r;

that is centripetal acceleration which is the pseudo force experienced on the object of mass m.
 
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The question is unclear. Is the origin of the reference frame going in a circle but maintaining a constant orientation, or is the reference frame also rotating?
Either way, the observed object will not appear to have constant velocity, therefore will appear subject to a force. However, the nature of that force will be somewhat complex. It is not a simple centrifugal or coriolis force. In the nonrotating frame, the apparent path will be a cycloid of some sort (could be prolate or curtate). For the rotating frame, some kind of double spiral.

As to centrifugal versus Coriolis, centrifugal force arises when the observer moves tangentially to the axis of rotation of the reference frame, while Coriolis arises when the observer moves radially with repect to the axis of the rotating frame.
 

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