To determine the mass m2 required to make m1 slide, the discussion emphasizes the need to analyze forces acting on both masses. The key equation involves balancing the gravitational force on m2 against the frictional force on m1, which is defined by the coefficient of static friction and the normal force. Participants express confusion about deriving the correct equation and the role of acceleration, ultimately concluding that for m1 to start sliding, acceleration can be considered negligible (approaching zero). The conversation also touches on the importance of correctly applying the friction formula and understanding the forces involved, including tension in the rope and the normal force from the table. The thread highlights the collaborative effort to clarify these physics concepts and solve the problem effectively.