The boom in the figure below weighs 2700 N and is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 30% of its length. FYI: the weight that is being held up by the boom and guy wire is considered to be 5000 N while the angle depicted is 60 degrees.
A) Make a free-body diagram of the boom. The boom attaches to the building at dot A. The center of the gravity of the boom is indicated by dot B. The guy wire attaches to the boom and holds the load at dot C. Draw the vectors starting at the black dots. Positive torque is considered to be in the counterclockwise direction.
B) Find the tension in the guy wire. Express your answer in newtons.
C) Find the horizontal component of the force exerted on the boom at its lower end. Express your answer in newtons.
D) Find the vertical component of the force exerted on the boom at its lower end. Express your answer in newtons.
I’m stumped and would appreciate the help! Thanks.