In the figure shown, the coefficient of static friction between B and the wall is 2/3 and the coefficient of kinetic friction between B and the wall is 1/3. Other contacts are smooth. The minimum force ‘F’ required to lift B, up is F₀. Now if the force applied on A is slightly increased than F₀, then find the acceleration of B. Mass of A is 2m and the mass of B is m. Take tan $θ$ = 0.75 (g = 9.8 m/s²)

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Detailed Solution

If normal force between A & B is N, for pending upward motion of block B of mass ‘m’ with help of static friction,
Ncosθ = mg + $µ_{s} Nsin θ$
If force is slightly increased above this value, the friction becomes kinetic.

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