A uniform rectangular sign of 440 N, 4.00 m wide and 3.00 m high is hanged from a horizontal, 6.00-m-long, uniform, 120-N rod. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical.
(i) Determine the tension, T, in the cable.
(ii) Determine the horizontal and vertical components of force applied on the left end of the rod by the hinge. (Take up and to the right to be in positive directions.)