A 20.0kg light signal hangs from the end of a 7.0m uniform density pole of mass 12.0kg. The pole is free to swivel from the hinge at point A, and is held in static equillibrium by a horizontal support cable between points C and D that is attached to the vertical pole 3.80m above the hinge.
A) What is the tension in the support cable?
B) What is the reaction force (magnitude and direction) at the hinge?