Thanks! To clear things up...
The discs motion and the magnetic field is perpendicular to the rotation of the disc, so there is a change of magnetic flux linkage, so an emf is induced such that to oppose the motion creating it. The Emf then leads to the force opposing the discs motion due to the Flemmings right hand rule.
Kind of hard to imagine, but how exactly is the disc cutting this magnetic field in the coil of wire? Is it in that small region only?