Physics Library / Computational resource

Pulleys and Atwood machines

Move the masses. Compare equal travel over a fixed pulley with the two-to-one motion of a movable pulley.

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Fixed pulley

The 5 kg mass descends; both masses move the same distance.

One inextensible ropem1m2

Motion begins from rest. The display stops before a mass reaches the pulley or floor.

One rope, two coordinates

The fixed rope length makes one side rise exactly as far as the other falls.

Δy1 + Δy2 = 0
m1, down positivem2, down positive
m2 acceleration2.45 m/s2
Rope tension36.79 N
m1 displacement0.00 m
m2 displacement0.00 m
Constraint residual0.000 m

T - m1g = m1a    m2g - T = m2a