To determine the mass m1 for static equilibrium in a compound pulley system with m2 set at 60 kg, it is essential to analyze the system using free body diagrams and tension forces. The discussion emphasizes that if the system is static, the lengths of the strings will remain constant, indicating no motion. Participants suggest considering how movement of one mass affects the other to establish the correct tension for balance. Understanding the relationship between the masses and their movements is crucial for solving the problem. The focus remains on applying these principles to achieve static equilibrium in the pulley system.