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This lecture explains how to determine forces at supports using an arc-and-cable, whether it's auxiliary or part of a more complex structure. The method is systematic, starting with drawing forces in a Cremona diagram and analyzing the subsystems around them. By following this approach, one can accurately calculate vertical and inclined forces at different supports. The lecture also covers cases with multiple forces, emphasizing the importance of an auxiliary arc-and-cable to simplify the process. By applying the procedure of the auxiliary arc-and-cable, one can efficiently calculate support forces for various structures, such as trusses and beams.