Two blocks A and B of masses m_A =1 kg and m_B =3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and…

Two blocks A and B of masses $\displaystyle \mathrm{m}_{\mathrm{A}}=1 \mathrm{~kg}$ and $\displaystyle \mathrm{m}_{\mathrm{B}}=3 \mathrm{~kg}$ are kept on the table as shown in figure. The coefficient of friction between A and B is $\displaystyle 0.2$ and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block A does not slide over the block B is : [Take $\displaystyle \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ]