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In the pulley arrangement shown in figure, the pulley P₂ is movable. Assuming the coefficient of friction between m and surface to be $μ$ , the maximum value of M for which m is at rest is

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$M = \frac{μm}{2}$

$m = \frac{μM}{2}$

$M = \frac{m}{2 μ}$

$m = \frac{M}{2 μ}$

answer is A.

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Detailed Solution

f = 2T …(i)

and T = Mg …(ii)

If m be at rest friction will be static

$f \leq μN$

$2 Mg \leq μmg \Rightarrow M = \frac{μm}{2}$

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