A block $P$ of mass $m$ is placed on a smooth horizontal surface. A block $Q$ of same mass is placed over the block $P$ and the coefficient of static friction between them is ${\mu _S}$. A spring of spring constant $K$ is attached to block $Q$. The blocks are displaced together to a distance $A$ and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
Diffcult
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$\omega=\sqrt{\frac{\mathrm{K}}{2 \mathrm{m}}}$
Maximum acceleration $=\omega^{2} \mathrm{A}=\frac{\mathrm{KA}}{2 \mathrm{m}}$
Friction between blocks $=$ force on lower block
$=m a=\frac{K A}{2}$
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