The coefficient of static friction $\mu_8$, between block $A$ of mass $2 \mathrm{~kg}$ and the table as…

The coefficient of static friction $\mu_8$, between block $A$ of mass $2 \mathrm{~kg}$ and the table as shown in the figure is 0.2 . What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless $(g$ $\left.=10 \mathrm{~m} / \mathrm{s}^2\right)$
  1. $2.0 \mathrm{~kg}$
  2. $4.0 \mathrm{~kg}$
  3. $0.2 \mathrm{~kg}$
  4. $0.4 \mathrm{~kg}$

Solution

According to the question $T=m_{\mathrm{B}} q=\mu\left(m_{\mathrm{A}} q\right)$ $\begin{aligned} \Rightarrow \quad m_{\mathrm{B}} & =\mu m_{\mathrm{A}}=0.02 \times 2 \\ & =0.4 \mathrm{~kg} \end{aligned}$

Asked in: NEET 2004

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