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Q. Steel construction beams, with an industry designation of "W12 22," have a weight of 21 pounds per foot. A new business in town has hired you to place its sign on a 4.0 m long steel beam of this type. The design calls for the beam to extend outward horizontally from the front brick wall (see figure). It is to be held in place by a 5m-long steel cable. The cable is attached to one end of the beam and to the wall above the point at which the beam is in contact with the wall. Throughout the initial stage of construction, the beam is not to be bolted to the wall, but to be held in place solely by friction.

What is the least coefficient of friction between the beam and the wall for the beam to remain in static equilibrium?

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