A method of utilizing eddy currents to induce resistance that simulates and replaces physical weights in strength training exercise equipment includes a user moving at least one of a first member and a second member that supports magnets of alternating polarity, relative to each other bi-directionally. The bi-directional movement can be linear, radial, arcuate, or circular. The movement of the first member and a second member relative to each other induces in the first member eddy currents which resist the movement of the first member, the second member, or both bi-directionally.