• # question_answer The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity $\omega =3$ $\text{rad}/\text{sec}$. As it passes the position$\theta ={{0}^{o}}$, a small mass m is placed upon it at a radial distance r = 0.5 m. If the mass is observed to slip at $\theta ={{37}^{o}}$, the coefficient of friction between the mass & the member is: A) $\frac{3}{16}$           B) $\frac{9}{16}$         C) $\frac{4}{9}$                           D) $\frac{5}{9}$

 As the mass is at the verge of slipping $\therefore$      $mg\sin 37-\mu \,mg\cos 37=m{{\omega }^{2}}r$ $6-8\mu =4.5$ $\therefore$      $\mu =\frac{3}{16}$
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