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A double pulley problem is a physics problem that involves two pulleys connected by a rope or cable. The goal of these problems is to calculate the mechanical advantage, or the ratio of the output force to the input force, of the pulley system.
The mechanical advantage of a double pulley is calculated by dividing the output force by the input force. In this case, the output force is the weight being lifted and the input force is the force applied to the rope or cable.
A fixed pulley is attached to a stationary object, while a movable pulley is attached to the object being lifted. In a double pulley system, the fixed pulley is located at the top and the movable pulley is located at the bottom.
A double pulley system can provide a greater mechanical advantage, making it easier to lift heavy objects. This is because the weight is distributed between two ropes, reducing the amount of force needed to lift the object.
Double pulley systems are commonly used in elevators, cranes, and construction equipment. They can also be found in exercise equipment, such as weight machines, and in sailing rigs on boats.
