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A small bead of mass 100 g is able to slide along a frictionless wire.

The wire is bent into a semicircle of radius 10 cm and rotates about a
vertical axis with angular velocity 12.5 rad/s.
(i) Draw a free body diagram depicting the forces acting on the bead
(ii) For what angle θ will the bead remain stationary relative to the rotating
wire?

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