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  4. Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between A and B is 0.4, the maximum horizontal force (in N ) which can make them without separation is ?

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Q. Two blocks $A$ and $B$ of masses $6 \,kg$ and $3 \,kg$ rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between $A$ and $B$ is $0.4$, the maximum horizontal force (in $N$ ) which can make them without separation is ?Physics Question Image

Laws of Motion

Solution:

Force on system $F=\left(m_{1}+m_{2}\right) a$
Maximum friction force on $3\, kg$ block
$=\mu 3\, g =3\, a $
$a =\mu g$
so maximum force on system
$F=\mu\left(m_{1}+m_{2}\right) g$
$F=0.4(6+3) g=4 \times 9=36 \,N$