A 1-kg sphere is at rest relative to a parabolic dish which rotates at a constant rate abo...

A 1-kg sphere is at rest relative to a parabolic dish which rotates at a constant rate about a vertical axis. Neglecting friction and knowing that r = 1 m, determine (a) the speed υ of the sphere, (b) the magnitude of the normal force exerted by the sphere on the inclined surface of the dish.