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. \[\frac{5}{9}\]