If the coefficient friction between A and B is μ , the maximum acceleration of the wedge A for which B will remain at rest with respect to the wedge is
μg
g1+μ1−μ
g1−μ1+μ
gμ
For maximum acceleration body as a tendency to go up and friction acting down the plane.
macosθ=mgsinθ+f
macosθ=mgsinθ+μmasinθ+mgcosθ
a=g+μa+g θ=45o
a=g1+μ1−μ