A block of mass m is at rest w.r.t. hollow cylinder which is rotating with angular speed $\omega$. Radius of cylinder is R. Find minimum coefficient of friction between block and cylinder.
(A) $\frac{g}{4\omega^2 R}$
(B) $\frac{3g}{2\omega^2 R}$
(C) $\frac{g}{\omega^2 R}$
(D) $\frac{2g}{\omega^2 R}$