A body $B$ lies on a smooth horizontal table and another body $A$ is placed on $B$. The coefficient of friction between $A$ and $B$ is $\mu $. What acceleration given to $B$ will cause slipping to occur between $A$ and $B$
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(a) There is no friction between the body $B$ and surface of the table. If the body $B$ is pulled with force $F$ then $F = ({m_A} + {m_B})\,a$
Due to this force upper body $A$ will feel the pseudo force in a backward direction.
$f = {m_A} \times a$
But due to friction between $A$ and $B$, body will not move. The body $A$ will start moving when pseudo force is more than friction force.
i.e. for slipping, ${m_A}a = \mu \;{m_A}g$
$\therefore a = \mu \,g$
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