I want a system to move something in the opposite direction to the driven thing, but twice the distance. I'm thinking the below system of pulleys. I just wonder if it will actually work or will it just stick and not want to move? And then how to avoid that happening?
- If the motor moves to the right by distance $x$ then the inner left pulley most move the same distance.
- This will increase the length of the fixed end by $x$ and the length of the top left string by $x$ and will require $2x$ of string to be drawn from the bottom.
- The load will move by $2x$.