Forces exerted on a pulley

Depending on the angle at which the rope passes through a pulley, the forces exerted are different. Explanations.

The forces on a pulley are not the same according to the angle at which the pulley works. This is called the load factor.

The worst thing for a pulley is to pull the load to be mounted in parallel (for example, a pulley placed at the mast head for a halyard).

Let us take again the example of the halyard pulley. If I pull on one side at 100 kg to lift the mainsail, which also weighs 100 kg - for the example, we don't consider the friction - the pulley holds 200 kg, which is a load factor of 200%.

On the other hand, a 45° deflection has a load factor of 75% (if I pull 100 kg, the pulley only loads 75 kg).

Below is the table showing the load factor (in %) as a function of the defection angle (in °)

defection angle load factor
180° 200%
160° 197%
140° 187%
120° 180%
100° 153%
90° 140%
80° 129%
60° 100%
45° 75%
20° 35%
0%
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