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 ?

Question

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 ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Force on system F=(m1+m2) a Maximum friction force on 3 kg block =μ 3 g =3 a a =μ g so maximum force on system F=μ(m1+m2) g F=0.4(6+3) g=4 × 9=36 N

Q. Two blocks $A$ and $B$ of masses $6 k g$ and $3 k g$ 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 ?

Force on system $F = (m_{1} + m_{2}) a$
Maximum friction force on $3 k g$ block
$= μ 3 g = 3 a$
$a = μg$
so maximum force on system
$F = μ (m_{1} + m_{2}) g$
$F = 0.4 (6 + 3) g = 4 \times 9 = 36 N$

Q. Two blocks A and B of masses 6kg and 3kg 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 ?

Force on system F=(m1​+m2​)a Maximum friction force on 3kg block =μ3g=3a a=μg so maximum force on system F=μ(m1​+m2​)g F=0.4(6+3)g=4×9=36N

Q. Two blocks $A$ and $B$ of masses $6 k g$ and $3 k g$ 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 ?

Force on system $F = (m_{1} + m_{2}) a$
Maximum friction force on $3 k g$ block
$= μ 3 g = 3 a$
$a = μg$
so maximum force on system
$F = μ (m_{1} + m_{2}) g$
$F = 0.4 (6 + 3) g = 4 \times 9 = 36 N$