Problem

A particle with mass $3kg$ is lifted by a smooth rotating arm along a smooth path in the vertical plane from pcition $A$ to $B.$ The path between A and $B$ is a circular ramp with radius $600mm$ which is described by the equation $r=(1\mathrm{.}2cos)m.$ At position $C,$ the angle $$ is $30$ and the arm has constant angular velocity $0\mathrm{.}5ra\frac{d}{s}.$ Neglecting any friction and the size of the particle, find the force of the arm on the particle when the particle is at position $C$ as shown. $($Gravity acts downward in the figure.$)$