A 580 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 90-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 degree angle with the vertical.
a) Find the tension, T, in the cable. (in N)
b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions.) (in N)