Two blocks A and B of masses 5 ,kg and 3 ,kg respectively rest on a smooth horizontal surface with B

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4-2.Friction

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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

$5$

Solution

(c)

It both are moving together

$a=\frac{F}{8}$

for $3 \,kg$ block

$f=3\left(\frac{F}{8}\right)$

$(0.5 (3) g=\frac{3 F}{8}$

$F=40 \,N$

So, $m=4 \,kg$

Standard 11

Physics

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