A system of two blocks of masses m =2 kg and M=8 kg is placed on a smooth table as shown in figure.

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4-2.Friction

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A system of two blocks of masses $m =2 \; kg$ and $M=8 \; kg$ is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is $0.5$. The maximum horizontal force $F$ that can be applied to the block of mass $M$ so that the blocks move together will be $\dots \; N$

A

$9.8$

B

$39.2$

C

$49$

D

$78.4$

(JEE MAIN-2022)

Solution

$\left(a_{A}\right)_{\max }=0.5 g=4.9 m / s ^{2}$

For moving together

$F_{\max }=m_{T} a_{A}$

$=10 \times 4.9$

$=49 \; N$

Standard 11

Physics

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