The 1.5-kg cylinder C travels along the path described by r = (0.6 sin θ) m. If arm OA r...

The 1.5-kg cylinder C travels along the path described by r = (0.6 sin θ) m. If arm OA rotates counterclockwise with a constant angular velocity of = 3 rad/s, determine the force exerted by the smooth slot in arm OA on the cylinder at the instant θ = 60°. The sprig has a stiffness of 100 N/m and is unstretched when θ = 30°. The cylinder is in contact with only one edge of the slotted arm. Neglect the size of the cylinder. Motion occurs in the horizontal plane.