The system is pushed by a force \( F \) as shown in figure. All surfaces are smooth except betwe...

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The system is pushed by a force \( F \) as shown in figure. All surfaces are smooth except between \( B \) and \( C \). Friction coefficient between \( B \) and \( C \) is \( \mu \). Minimum value of \( F \) to prevent block \( B \) from downward slipping is
(a) \( \left(\frac{3}{2 \mu}\right) m g \)
(b) \( \left(\frac{5}{2 \mu}\right) m g \)
(c) \( \left(\frac{5}{2}\right) \mu m g \)
(d) \( \left(\frac{3}{2}\right) \mu m g \)
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