A) \[\tan \theta \ge 3{{\mu }_{s}}\]
B) \[\tan \theta >3{{\mu }_{s}}\]
C) \[\tan \theta \le 3{{\mu }_{s}}\]
D) \[\tan \theta <3{{\mu }_{s}}\]
Correct Answer: C
Solution :
For the rolling of a solid cylinder acceleration \[a=\frac{g}{3}\sin \theta \] \[\therefore \]The condition for the cylinder to remain in equilibrium \[Ma\le {{\mu }_{s}}R\] \[\Rightarrow \] \[\frac{1}{3}Mg\sin \theta \le Mg\cos \theta .{{\mu }_{s}}\] Or \[{{\mu }_{s}}\ge \frac{1}{3}\tan \theta \] Or \[\tan \theta \le 3{{\mu }_{s}}\]You need to login to perform this action.
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