A uniform cube of side a & mass `m` rests on a rough horizontal table as shown. A horizontal force `F` is applied normal to one of the faces at a point that is directly above the centre of the face, at a height `3 (a) / 4` above the base. The minimum value of `F` for which the cube begins to tip about an edge is `(alpha m g)/(beta)`. Find (a `(a beta)` (assume that cube does not slide).
'(##CEN_KSR_PHY_JEE_C09_E01_028_Q15##)'

Answer

6