Shower room pulley load rope number pulley principle
The ancient Greeks classified pulleys as simple Shower room pulley machines. As early as 400 BC, the ancient Greeks knew how to use compound pulleys. About 330 BC, Aristotle's 18th question in his book "mechanical problems" focused on the "compound pulley" system.
Archimedes contributed a lot of knowledge about simple machinery and explained the kinematic theory of pulley in detail. It is said that Archimedes once used the compound pulley alone to pull a large sea ship full of goods and passengers. In the first century, Hiro of Alexandra analyzed and wrote the theory of the compound pulley, proving that the ratio of load to force is equal to the number of rope segments bearing the load, that is, the "pulley principle".
In 1608, in his book "mathematical minutes", the Dutch physicist Simon Steffen showed that the ratio of the length of the moving path between the force application and the load of the pulley system is equal to the inverse ratio between the force application and the load. This is the virtual work principle of the prototype.
In 1788, French physicist Joseph Lagrange used the pulley principle to deduce the Shower room pulley principle of virtual work in his masterpiece analytical mechanics, which opened the prelude to Lagrangian mechanics.