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  4. Two blocks ' A ' and ' B ' each of mass ' m ' are placed on a smooth horizontal surface. Two horizontal forces F and 2F are applied on the blocks A and B , respectively, as shown in figure. The block A does not slide on block B . The normal reaction acting between the two blocks is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-2hvcgtjp5dcw.png />

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Q. Two blocks ' $A$ ' and ' $B$ ' each of mass ' $m$ ' are placed on a smooth horizontal surface. Two horizontal forces $F$ and $2F$ are applied on the blocks $A$ and $B$ , respectively, as shown in figure. The block $A$ does not slide on block $B$ . The normal reaction acting between the two blocks is

Question

NTA AbhyasNTA Abhyas 2020Laws of Motion

Solution:

Acceleration of two mass system is $a=\frac{F}{2 m}$ leftward
FBD of block $A$
image
$Ncos 60^{o}-F=ma$
$\Rightarrow Ncos 60^{o}-F=\frac{m F}{2 m}$
$\Rightarrow N=3F$