Maximum value of F which can be applied on system shown in figure so that both blocks move together

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4-2.Friction

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The maximum value of $F$ which can be applied on the system shown in figure so that both blocks move together with same acceleration is ..........

A

$F=\mu M_2 g$

B

$F=\mu\left[M_1-M_2\right] g$

C

$F=\mu M_1 g$

D

$F=\mu\left[M_1+M_2\right] g$

Solution

(d)

Let both blocks move together with acceleration a. making $FBD$ of $m-2$ block for vertical balance

$M=M_2\,g$

$\Rightarrow fr =\mu M _2\,g$

$\Rightarrow a =\frac{ fr }{ M _2}=\mu g \ldots \ldots .(1)$

making FBD of second block

$F-f r=M_1 a$

$F-\mu m_2 g=M_1(\mu g )$

$\Rightarrow F=\mu\left[M_1+M_2\right]\,g$

Standard 11

Physics

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