Explore mechanics.im
simple-machines.mechanics.im
Pulleys

Pulleys: count the ropes

One pulley changes the direction of your pull. Several together make it lighter.

How this site works. Every fact is in our own words and linked to its source, beside it. Where good sources disagree, we show each version in a “Sources differ” box.

A pulley is a wheel that carries a rope, cord, cable, chain or belt on its rim. Pulleys with grooved rims are called sheaves. Britannica

Pulleys, the blocks that hold them and the rope together are called a block and tackle. Britannica

Science Trek calls the pulley a version of the wheel and axle combined with a rope or chain. Science Trek

One pulley, two, four

A single fixed pulley has a mechanical advantage of 1: it doesn’t reduce the force, it changes its direction. OpenStax

For a pulley system, the mechanical advantage is roughly the number of rope sections holding up the load: 2, 3, 4 and so on. OpenStax

Count the ropes holding the load: that is roughly the mechanical advantage (our drawing, after OpenStax).Drawing: our own, simplified and not to scale

The catch, as ever: with four ropes holding the load, you pull four metres of rope to lift it one metre (our arithmetic, ignoring friction).

An old engraved plate of lifting gear: wooden pulley blocks with ropes, hooks and a tall frame
Lifting gear with block and tackle, from an engraving by T. Bradley.Picture: T. Bradley (engraver), Wellcome Collection, CC BY 4.0, via Wikimedia Commons (cropped and resized)

Where you’ll find them

Pulling down on a flagpole rope to raise the flag is a single pulley at work: down here, up there. Science Trek

Pulleys work window blinds, raise sails, lift cargo and cranes, and move lifts between floors. Science Trek

History

The pulley goes back to Mesopotamia in the second millennium BCE, according to the Ohio University history. Ohio Univ.

Archimedes is reported to have used compound pulleys to pull a ship onto dry land. Britannica

Plutarch also tells how Archimedes, holding the end of a pulley system in his hand, drew a loaded ship towards him in a straight line. MacTutor

Next: the inclined plane →