The beam is embedded at one end in the wall (Fig.). Mass of the hanging part of the beam M = 100 kg; its length L = 1.5 m. At the end of the beam there is a load of mass m = 50 kg. The pressure force FA of the beam on the wall at point A should not exceed 8 kN. Find the smallest permissible distance I between the supports and the pressure force at point B. Neglect the mass of the fixed part of the beam.

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