What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ........ $N$
IIT 2003, Difficult
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(a) $f = \mu R$

$F\cos 60^\circ = \mu (W + F\sin 60^\circ )$

Substituting $\mu = \frac{1}{{2\sqrt 3 }}$ & $W = 10\sqrt 3 $

we get $F = 20\,N$

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