A spanner wrench is used to apply torque to circular shafts and other similar shapes. Such wrenches are routinely used in the setup of tools such as milling machines, lathes, and so on. The wrench makes contact with the shaft at point A, which may be assumed to be frictionless, and at B where a small pin fits into a hole in the shaft. If P = 80 N, L = 120 mm, r = 25 mm, and a = 120°, determine the reactions at points A and B.
