How can I use an electromagnet and AC to shake a small magnet at a distance?

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I found PF via Google searches. I have been lurking for a while but finally thought I should make a n account and join the community.
I am currently finishing my bachelor's degree in engineering physics and have begun looking into grad programs across the US. I enjoy working on small projects here and there but have recently struggled with some some design challenges as I have been playing with magnets recently. I want to make a device that uses an electromagnet and AC to shake a small magnet at some distance away but I'm not so certain on the approach.
 
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