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We will present an ideology of Newtonian Mechanics with an example of three pulleys working for two bidirectional forces, in this video. Among the three pulleys, two are static in their position and the other one is hanging and dynamic as well.
In physics, no force can be exerted without an equal and opposite force (even if some of that opposing force comes from making an object accelerate). A rope and pulley can act together to change the direction of the force you apply, but not for free. In order to change the direction of your force from –F (that is, downward) to +F (upward on the mass), the pulley’s support has to respond with a force of 2F.

When you pull a rope in a pulley system to lift a stationary object, you lift the mass if you exert enough force to overcome its weight, mg, where g is the acceleration due to gravity at the surface of the Earth, 9.8 meters/second2.

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