Do we have Coriolis acceleration on the slider or is it purely centripetal?

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firavia
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according to the figure attached below , do we have a coriolis acceleration on the slider and why ?

why can't we say that it is a centripetal acceleration ?

I want to know the difference between coriolis accelration and centrepetal acceleration ,

cause As I know , coriollis acceleration show's up only if we are studying the object in a rotational frame, why are we concidering here that it is a rotaitonal frame and not an inertial frame ??
 
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