First slide
Variation of friction with applied force
Question

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

Difficult
Solution

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+μ1μ

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