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May 27, 2018 at 0:18 comment added user137289 Far enough below resonance, one can make the static approximation: if the force is one promille of the tension of the string, the amplitude will be a deviation of about one milliradian from equilibrium. That would need an unrealistically strong electromagnet. But at the narrow resonance, the necessary force is reduced by the Q-factor (about $10^3$).
May 26, 2018 at 22:21 comment added Tim What about the mathematics required to calculate how much the string would move given a specific power applied?
May 26, 2018 at 22:17 history answered user137289 CC BY-SA 4.0