The block in Fig does not accelerate vertically. Therefore , we model it as a particle in equilibrum in the verticle direction if centripetal acceleration in the horizontal direction in this case centriprted is proveded by friction.

` sum F_(y) = N - mg = 0`...(i)
`N = mg`....(ii)
`sum F_(x) = f = ma_(c) = m omega^(2) R`
Friction force = centripental force ` = m omega^(2) R`