Question

You are asked to hang a uniform beam and sign using a cable that has a breaking strength of 372 N. The store owner desires that it hang out over the sidewalk as shown. The sign has a weight of 248 N and the beam's weight is 49 N. The beam's length is 1.30 m and the sign's dimensions are 1.00 m horizontally 0.80 m vertically. What is the minimum angle θ that you can have between the beam and cable?