Frictionless ball in a rotating reference frame.

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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?



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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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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: