The mass of the luggage carrier and the suitcase combined is 12 kg. Their weight acts at A...

The mass of the luggage carrier and the suitcase combined is 12 kg. Their weight acts at A. The sum of the moments about the origin of the coordinate system due to the weight acting at A and the vertical force F applied to the handle of the luggage carrier is zero. Determine the force F (a) if α = 30°; (b) if α = 50°.