A sign is supported by a uniform horizontal boom of length 3.10 m and weight 72.0 N. A cable, inclined at an angle of 16 with the boom, is attached at a distance of 2.71 m from the hinge at the wall. The weight of the sign is 108.0 N. What is the tension in the cable and what are the horizontal and vertical forces F_xandF_y exerted on the boom by the hinge? Comment on the magnitude of F_y.

T= In N

Fx= in N

Fy= in N

The magnitude ofF_y is select (small or large) compared to that of F_xandT.