Figure 1
From: Orbit constraint of a small bead on a rotating large circular hoop in a horizontal plane
A schematic diagram of force analysis of a bead on a rotating circular hoop with radius R when the angular velocity \(\omega >0\) of the bead relative to hoop. \(\Omega _0 t+\beta t^2/2\) is the rotation angle of the \(OO^{'}\) axis of the rotating hoop relative to the x axis, \(\gamma\) is the included angle between MO and \(OO^{'}\), and \(\varphi =\Omega _0 t+\beta t^2/2+\gamma\). \(\theta\) is the rotation angle of the bead relative to the hoop. \(N_1\) and f are the constraint force and friction of the bead, respectively.
