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I guess I don't understand. This is how electric motors work. Current passing through a coil causes a magnetic field inside the motor, which acts on a magnetic rotor which creates the actual rotation. So yes, it is possible to obtain motion from magnets, and an electric motor is a real-life example of that. '85E150 called it.
There is also a special class of electric motors called "linear" motors. The Mr. Freeze theme park ride at Six Flags St. Louis is an example. Essentially it uses magnets to propel the coaster from 0 to 70 MPH in 4 seconds. But it's the same concept as an electric motor; except the rotor is "unrolled." Maybe this type of motion is what you are asking about?
There is also a special class of electric motors called "linear" motors. The Mr. Freeze theme park ride at Six Flags St. Louis is an example. Essentially it uses magnets to propel the coaster from 0 to 70 MPH in 4 seconds. But it's the same concept as an electric motor; except the rotor is "unrolled." Maybe this type of motion is what you are asking about?