A transducer positioning apparatus is provided that supports a read/write head on a data storage machine and biases the head against rotation. The transducer positioning apparatus may comprise a base that includes a linear drive motor and a support frame to which the read/write head is secured. The support frame is reciprocally driven by the linear drive motor relative to the base. A magnetic coupling is provided between the base and the support frame that resists movement of the frame other than the reciprocal movement of the support frame relative to the base. A method is also disclosed for magnetically biasing a movable head of a transducer against rotation.