Adjoining figure shows two blocks $A$ and $B$ pushed against the wall with a force $F .$ The wall is smooth but the surfaces in contact of $A$ and $B$ are rough. Which of the following is true for the system of blocks to be at rest against the wall ?

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$F$ should be less than the weight of $A$ and $B$

$F$ should be equal to the weight of $A$ and $B$

system cannot be in equilibrium

$F$ should be more than the weight of $A$ and $B$

answer is D.

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Detailed Solution

Keeping $(A + B)$ as system there is no force in vertically upward direction as the wall is smooth no frictional force developed.

∴ system cannot be in equilibrium

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