To determine the moment about support leg "A" caused by the 12.3 kN tension in the cable, one must calculate the moment using the force magnitude multiplied by the perpendicular distance from the force vector to point "A." Alternatively, resolving the tension into x and y components allows for calculating the moment by summing each component's contribution based on its respective distance from point "A." The forum emphasizes the importance of showing an initial attempt at the solution before receiving further assistance. This approach ensures a better understanding of the underlying principles involved in calculating moments. Engaging with the problem actively is encouraged for effective learning.