PURE rolling of OA about A: the induced emf ACROSS OA will be: \[\left| \left. {\vec{e}} \right| \right.=\frac{B\omega {{(r)}^{2}}}{2}\] From LENZ law, 0 will be the negative end, while A will be the positive end. Hence \[{{V}_{0}}-{{V}_{A}}=-\frac{B\omega {{r}^{2}}}{2}\]