In figure, the coefficient of friction between the floor and the block \(B\) is 0.1 . The coeffi....

In figure, the coefficient of friction between the floor and the block \(B\) is 0.1 . The coefficient of friction between the blocks \(B\) and \(A\) is 0.2 . The mass of \(A\) is \(m / 2\) and of \(B\) is \(m\). What is the maximum horizontal force \(F\) can be applied to the block B so that two blocks move together?