The boom crane in the diagram is in static equilibrium and
weighs 2000 N with its center of gravity in the middle of its
length. It is supported by a frictionless pivot at the left end and
a cable connected to the center of the boom and is supporting
a load of 5000N at the end.
a) Draw a freebody diagram of the boom crane.
b) Write the three equations of static equilibrium.
c) What is the magnitude of the tension in the cable?
d) What is the magnitude of the horizontal and vertical components of the force at the pivot point?
The three equations are sum moments, horizontal forces, and vertical forces.
Those will let you find tension