Two block (A),2,kg and (B),5,kg rest one over other on a smooth horizontal plane. cofficient of stat

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4-2.Friction

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Two block $(A)\,2\,kg$ and $(B)\,5\,kg$ rest one over the other on a smooth horizontal plane. The cofficient of static and dynamic friction between $(A)$ and $(B)$ is the same and equal to $0.60$. The maximum horizontal force that can be applied to $(B)$ in order that both $(A)$ and $(B)$ do not have any relative motion : $(g = 10\,m/s^2)$

A

$42\,N$

B

$42\,kgf$

C

$5.4\,kgf$

D

$1.2\,N$

Solution

Maximum acceleration of block $A,$

$a_{A_{\max }}=\mu g=6 \mathrm{m} / \mathrm{s}^{2}$

$ \text { Therefore required force, } F_{\max } =(2+5)(6)$

$=42 \mathrm{N}$

Standard 11

Physics

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