Frictionless ball in a rotating reference frame.

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SUMMARY

The discussion centers on the motion of a frictionless ball on a rotating disc, specifically how it appears from a rotating reference frame. Participants clarify that while a centrifugal force acts outward on the ball, it does not have an inward centripetal force due to its frictionless nature. The ball appears to move in a circular path with its center at the disc's center, but this motion is influenced by both centrifugal and Coriolis forces. The Coriolis force plays a crucial role in the ball's apparent motion in the rotating frame.

PREREQUISITES
  • Understanding of centrifugal and centripetal forces
  • Familiarity with Coriolis force and its effects
  • Knowledge of rotating reference frames
  • Basic principles of classical mechanics
NEXT STEPS
  • Study the effects of Coriolis force in rotating systems
  • Explore the concept of fictitious forces in non-inertial frames
  • Learn about the dynamics of frictionless motion on rotating surfaces
  • Investigate real-world applications of rotating reference frames in physics
USEFUL FOR

Physics students, educators, and anyone interested in classical mechanics and the dynamics of rotating systems will benefit from this discussion.

sbhit2001
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Homework Statement


Imagine that a circular disc is rotating with a frictionless ball on it( ball is not at center of the disc) If we observe the motion of the ball from the rotating frame of reference, then how can we describe its motion?



Homework Equations





The Attempt at a Solution



As the motion of the ball is being observed from the rotating frame of reference, a centrifugal force must act on it but i know that it will appear as if the ball is moving in a circular path with its center at the center of the disc. If the net force on the ball is towards outside(centrifugal force), then how can it rotate because it has no inward acting fictitious centripetal force.. Please help...
 
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Besides the centrifugal force, there is another "fictitious" force acting on the ball.
 
welcome to pf!

hi sbhit2001! welcome to pf! :smile:
sbhit2001 said:
Imagine that a circular disc is rotating with a frictionless ball on it( ball is not at center of the disc) If we observe the motion of the ball from the rotating frame of reference, then how can we describe its motion?

… i know that it will appear as if the ball is moving in a circular path with its center at the center of the disc. If the net force on the ball is towards outside(centrifugal force), then how can it rotate because it has no inward acting fictitious centripetal force.

yes, it's frictionless, so it should stay where it is in the Earth frame, which means that it rotates "the wrong way" in the rotating frame

this is the same as what happens to houses etc if you're standing on a rotating turntable …

as you say, there's a centrifugal force outwards, but there's also a Coriolis force inwards, which in this case is … ? :wink:
 

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