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A bead lies on a frictionless hoop of radius R that rotates around a vertical diameter with constant angular frequency ?, shown below. There is

A bead lies on a frictionless hoop of radius R that rotates around a vertical diameter with constant angular frequency ?, shown below. There is a friction between the bead and the hoop.

What should ? be so that the bead maintains the same position on the hoop, at an angle ? with respect to the vertical?

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