Is it possible?
A small mass is placed inside a hollow spherical shell of radius whose inner surface is frictionless. Is it possible to rotate the shell, about its vertical diameter, with a speed that the mass rotates along the equator of the shell?
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Here the ball and inner surface of spherical shell have no contact forces other than gravitational-normal pair(as the surfaces are frictionless) which can set the ball in rotational and further circular motion. Hence the ball remains in total equilibrium at the base of shell and doesn't climb to equator.