1. Tardigrade
  2. Question
  3. Physics
  4. 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

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Q. 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

Laws of Motion

Solution:

It both are moving together
$a=\frac{F}{8}$
for $3 kg$ block
$f=3\left(\frac{F}{8}\right)$
$\left(0.5(3) g=\frac{3 F}{8}\right. $
$F=40\, N$
$So , m=4\, kg$

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