Targ SM 1988 C1 Option 03

The rigid frame is fixed at point A hinged, and at point B 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 hinges. A pair of forces with a torque of M = 100 N · m and two forces act on the frame.
Determine the reaction of bonds at points A and B. For final calculations, take l = 0.5 m.
Given: F₁ = 10H; F₄ = 40H; α₁ = 60⁰; α₄ = 30⁰.