Targ S.M. 1988 C1 option 15

The rigid frame is fixed at the point A by a hinge, and at the point B it is attached either to the weightless rod BB₁, or to the hinged support on the rollers; the rod is attached to the frame and to the fixed support by the hinges. A pair of forces act on the frame with the moment M = 100N · m and two forces. Determine the reaction of bonds in points A and B. In the final calculations take l = 0.5 m.
Given: H: F₁ = 10H; α₁ = 60⁰; D: F₃ = 30H; α₃ = 30⁰.