A) \[\frac{2}{\sqrt{3}}\]
B) \[\frac{1}{3}\]
C) \[\frac{1}{\sqrt{3}}\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
About C, for toppling \[{{\tau }_{F}}>{{\tau }_{mg}}\] \[Fa\,\cos \,\,30{}^\circ \,\,>\,\,mg\frac{a}{2}\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,F>\frac{mg}{\sqrt{3}}\] \[If\,\,no\,\,translation,\,\,then\,\,\,{{f}_{s}}\,=\,\,F>\frac{mg}{\sqrt{3}}\] \[but\,\,{{f}_{s}}\le \,\,\mu mg\] \[\frac{mg}{\sqrt{3}}\,\,\le \,\,\mu \,mg\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\mu \ge \frac{1}{\sqrt{3}}\]You need to login to perform this action.
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