An antenna used for research at a university is shown. It has the feature that it is easily raised and lowered so that it can be outfitted with different equipment. The antenna is pinned to a supporting frame at point A, and it is raised and lowered using the gear at B to which a hand crank is attached. The antenna and its attached sector gear weigh 300 and 120 lb, respectively, and the 100 lb horizontal force at point C models the effect of wind loads during a storm. If the gear at B is locked so it does not rotate, determine the gear tooth force and the reactions at A.
