Two blocks A and B of masses 5 kg and 3 kg respectively rest on a smooth horizontal surface with B over A. The coefficient of friction between A and B is 0.5. The maximum horizontal force (in kg wt.) that can be applied to A, so that there will be motion of A and B without relative slipping, is

Question

Two blocks A and B of masses 5 kg and 3 kg respectively rest on a smooth horizontal surface with B over A. The coefficient of friction between A and B is 0.5. The maximum horizontal force (in kg wt.) that can be applied to A, so that there will be motion of A and B without relative slipping, is (A) 1.5 (B) 2.5 (C) 4 (D) 5

Tardigrade Admin · Accepted Answer

It both are moving together a=(F/8) for 3 kg block f=3((F/8)) (0.5(3) g=(3 F/8). F=40 N So , m=4 kg

Q. Two blocks A and B of masses 5kg and 3kg respectively rest on a smooth horizontal surface with B over A. The coefficient of friction between A and B is 0.5. The maximum horizontal force (in kg wt.) that can be applied to A, so that there will be motion of A and B without relative slipping, is

1.5

2.5

4

5

It both are moving together a=8F​ for 3kg block f=3(8F​) (0.5(3)g=83F​ F=40N So,m=4kg

It both are moving together
$a = \frac{F}{8}$
for $3 k g$ block
$f = 3 (\frac{F}{8})$
$(0.5 (3) g = \frac{3 F}{8}$
$F = 40 N$
$S o, m = 4 k g$