A 3.0 m beam with mass 50.0 kg is attached to a wall with a hinge. A rope is connected to the middle of the beam and the wall forming a 60 degree angle with respect to the beam. A mass of 25.0 kg is set on the beam at an unknown distance.

a. Draw a free body diagram of the beam. Carefully (and correctly) label the forces.
b. If the rope breaks when the tension exceeds 1000N, what is the maximum distance from the hinge that the mass can be placed?