Homemade Coil Cleaner Do The Magnets In A Generator Have To Run Across The Coils In The Same Direction Always Or Can They Swing <n>?

Do the magnets in a generator have to run across the coils in the same direction always or can they swing <n>? - homemade coil cleaner

My mother is the construction of a generator house. She wants the magnets slide back and forth on the rollers. Your question is really "the electricity can be generated in this way, or return to the cancellation of the power potential?