A) \[\sqrt{\frac{\mu g}{a}}\]
B) \[\frac{1}{2\pi }\sqrt{\frac{a}{\mu \operatorname{g}}}\]
C) \[2\pi \sqrt{\frac{\mu g}{a}}\]
D) \[\frac{1}{2\pi }\sqrt{\frac{\mu \operatorname{g}}{\operatorname{a}}}\]
Correct Answer: D
Solution :
Block of mass 'm' rest on a horizontal plane frictional force is the restoring force which try to bring back block to the mean position. \[{{\omega }^{2}} a \ge \mu mg\] \[\omega \ge \sqrt{\frac{\mu \operatorname{g}}{m}}\] \[2\pi f \ge \sqrt{\frac{\mu g}{a}}\] \[\operatorname{f} \ge \frac{1}{2\pi } \sqrt{\frac{\mu \operatorname{g}}{a}}\]You need to login to perform this action.
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