Question: A small bead of mass m is constrained to slide without friction inside a circular hoop of radius r which rotates about a vertical

A small bead of mass m is constrained to slide without friction 

A small bead of mass m is constrained to slide without friction inside a circular hoop of radius r which rotates about a vertical axis with an angular frequency a. Determine (a) the angle the beads makes with the vertical axis (0), assuming the bead stays at the same height, and (6) the normal force acting on the bead.

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