Work out tension in a rope instantly with clear inputs, formula shown and shareable results.
A rope lifting a mass carries the weight plus whatever is needed to accelerate it: T = m(g + a). Hoisting 80 kg while accelerating upward at 1.5 m/s2 puts 905 N in the rope against 785 N when merely holding. Lowering with deceleration adds tension too; only free fall drops it to zero.
Rope tension
T = m(g + a)
Static case
T = mg when a = 0
No. Constant velocity means zero acceleration, so the tension is just the weight, whether rising or falling.
Decelerating an ascent or accelerating a descent reduces tension. At a = -g the rope goes slack and the load is in free fall.