3. Static equilibrium. A beam of mass SBkg and length 1.5m {see image] is propped by a hinge and a cable C [neglect the mass of the cable}. The cable is tied to at its end and tied to the building 1.0m above the beam. 1.9m from the wall. Hanging from the beam at 1.2m from the wall is a shopping sign of mass 14.3kg. 3. Draw a FED for the beam and submit as part of your handwork. For this problem you may treat the beam and sign as a single system. b. Calculate the tension in the cable C [in N}. c. Calculate the force by the hinge on the beam (both magnitude {in N] and direction {in degreesil {hint You may assume the beam's own weight is through its center of mass, while the sign's weight where it is located on the beam. You will need to gure out the angle of the cable rst. Remember to break the hinge force into x and y components rst before solving}