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The system is pushed by a force F as shown in the figure. All surfaces are smooth except between B and C. Coefficient of friction between B and C is $μ$ . Minimum value of F to prevent block B from downward slipping is

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$(\frac{3}{2 μ}) mg$

$(\frac{5}{2 μ}) mg$

$(\frac{5}{2}) μmg$

$(\frac{3}{2}) μmg$

answer is B.

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Detailed Solution

$a = \frac{F}{m_{A} + m_{B} + m_{C}}$ ; ;FBD of A, F - N₁ = m_Aa
FBD of B, N₁ - N₂ = m_Ba

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