Two blocks of masses \(2m\), \(m\) are placed on a smooth horizontal table and they are in contact on their smooth slanted surfaces. A horizontal force \(F\), equal to \(mg\), is applied to the system from the left, which causes them to accelerate. Let \(N_A\) be the normal reaction from the table on \(A\), and \(N_B\) on \(B\). Then,

The two blocks are at rest on a smooth horizontal plane and are connected by strings passing over a smooth light pulley as shown. The strings are vertical while the force \(F,\) applied to the pulley is vertical. For what minimum value of \(F\) will the \(2\) kg block be lifted off?
(\(g=10\) m/s²)