Diagram A: Atwood Machine

Frictionless Pulley m_{2} m_{1} T m_{2}g T m_{1}g ↑ a ↓ a a = (m_{1}−m_{2})g/(m_{1}+m_{2}) ; m_{1} > m_{2}

Diagram B: Person in Lift — Apparent Weight

N (W') mg a↑ Lift accelerating UP: W' = m(g+a)