Elevator problems test understanding of Newton's Second Law in non-inertial frames.

Key Principle: A weighing scale reads the NORMAL force, not the true weight. The normal force changes with the elevator's acceleration.

Important Notes:

• "Accelerating upward" includes: speeding up while going up, or slowing down while going down
• "Accelerating downward" includes: slowing down while going up, or speeding up while going down
• Cable tension = (total mass)(g + a) for upward acceleration
• If apparent weight > actual weight: upward acceleration
• If apparent weight < actual weight: downward acceleration

Cable Breaking Condition: The cable breaks when tension exceeds its maximum capacity. Maximum upward acceleration = $\frac{T_max}{M}$ - g.