A uniform rectangular sign of 580 N, 4.00 m wide and 3.00 m high is hanged from a horizontal, 6.00 m long, uniform, 90 N rod. The left end of the rod is supported through a hinge and the right end is supported through a thin cable making a 30.0 degree angle with the vertical.
i) Determine the tension, T, in the cable. (In N)
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 the positive directions.)