A small mass when kept inside a hemispherical bowl, and the hemispherical bowl is spun around its vertical axis, goes up some distance from the centre of the bowl, and remains at equilibrium in that position. Please help explain the reason why this mass moves up when the bowl starts rotating. It is centrifugal force when we talk from non - inertial frame, but centrifugal force is a pseudo force. So please explain the real mathematical reason why the mass goes up that particular distance in bowl , when bowl spins. Why won't the mass stay in the bottom centre of the bowl itself, while the bowl spins?
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