First slide

Friction on horizontal surface

Question

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 μ. Minimum value of F to prevent block B from downward slipping is

Moderate

A

$(\frac{3}{2\mu})g$
B

$(\frac{5}{2\mu})g$
C

$(\frac{5}{2})\mu mg$
D

$(\frac{3}{2})\mu mg$

Solution

acc,of system = F/5m
N = 2ma = 2F/5
for B to slide down µN ≥ m_Bg
$\mu(\frac{2F}{5})\geq mg\Rightarrow F\geq 5/2\;\frac{mg}{\mu}$
$\therefore F_{min}=\frac{5mg}{2\mu}$

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